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Finding the Fourth Proportional to 124.65, 187.20 and 106.47

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Solution

The fourth proportional to 124.65, 187.20 and 106.47 is: 159.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.65 : 187.20 = 106.47 : x
  2. Step 2: Convert to fraction form
    124.65/187.20 = 106.47/x
  3. Step 3: Cross multiply
    124.65x = 187.20 × 106.47
  4. Step 4: Simplify right side
    124.65x = 19,931.18
  5. Step 5: Solve for x
    x = 19,931.18/124.65
  6. Step 6: Final answer
    x = 159.90

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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.