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Finding the Fourth Proportional to 124.14, 185.77 and 106.32

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Solution

The fourth proportional to 124.14, 185.77 and 106.32 is: 159.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.14 : 185.77 = 106.32 : x
  2. Step 2: Convert to fraction form
    124.14/185.77 = 106.32/x
  3. Step 3: Cross multiply
    124.14x = 185.77 × 106.32
  4. Step 4: Simplify right side
    124.14x = 19,751.07
  5. Step 5: Solve for x
    x = 19,751.07/124.14
  6. Step 6: Final answer
    x = 159.10

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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.