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Finding the Fourth Proportional to 124.42, 186.55 and 106.15

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Solution

The fourth proportional to 124.42, 186.55 and 106.15 is: 159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.42 : 186.55 = 106.15 : x
  2. Step 2: Convert to fraction form
    124.42/186.55 = 106.15/x
  3. Step 3: Cross multiply
    124.42x = 186.55 × 106.15
  4. Step 4: Simplify right side
    124.42x = 19,802.28
  5. Step 5: Solve for x
    x = 19,802.28/124.42
  6. Step 6: Final answer
    x = 159.16

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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.