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Finding the Fourth Proportional to 124.04, 170.88 and 107.84

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Solution

The fourth proportional to 124.04, 170.88 and 107.84 is: 148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.04 : 170.88 = 107.84 : x
  2. Step 2: Convert to fraction form
    124.04/170.88 = 107.84/x
  3. Step 3: Cross multiply
    124.04x = 170.88 × 107.84
  4. Step 4: Simplify right side
    124.04x = 18,427.70
  5. Step 5: Solve for x
    x = 18,427.70/124.04
  6. Step 6: Final answer
    x = 148.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.