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Finding the Fourth Proportional to 124.94, 187.60 and 106.63

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Solution

The fourth proportional to 124.94, 187.60 and 106.63 is: 160.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.94 : 187.60 = 106.63 : x
  2. Step 2: Convert to fraction form
    124.94/187.60 = 106.63/x
  3. Step 3: Cross multiply
    124.94x = 187.60 × 106.63
  4. Step 4: Simplify right side
    124.94x = 20,004.31
  5. Step 5: Solve for x
    x = 20,004.31/124.94
  6. Step 6: Final answer
    x = 160.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.