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Finding the Fourth Proportional to 124.74, 186.84 and 76.50

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Solution

The fourth proportional to 124.74, 186.84 and 76.50 is: 114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.74 : 186.84 = 76.50 : x
  2. Step 2: Convert to fraction form
    124.74/186.84 = 76.50/x
  3. Step 3: Cross multiply
    124.74x = 186.84 × 76.50
  4. Step 4: Simplify right side
    124.74x = 14,293.26
  5. Step 5: Solve for x
    x = 14,293.26/124.74
  6. Step 6: Final answer
    x = 114.58

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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.