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Finding the Fourth Proportional to 124.91, 187.37 and 70.76

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Solution

The fourth proportional to 124.91, 187.37 and 70.76 is: 106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.91 : 187.37 = 70.76 : x
  2. Step 2: Convert to fraction form
    124.91/187.37 = 70.76/x
  3. Step 3: Cross multiply
    124.91x = 187.37 × 70.76
  4. Step 4: Simplify right side
    124.91x = 13,257.01
  5. Step 5: Solve for x
    x = 13,257.01/124.91
  6. Step 6: Final answer
    x = 106.14

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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.