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Finding the Fourth Proportional to 124.64, 171.85 and 109.96

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Solution

The fourth proportional to 124.64, 171.85 and 109.96 is: 151.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.64 : 171.85 = 109.96 : x
  2. Step 2: Convert to fraction form
    124.64/171.85 = 109.96/x
  3. Step 3: Cross multiply
    124.64x = 171.85 × 109.96
  4. Step 4: Simplify right side
    124.64x = 18,895.82
  5. Step 5: Solve for x
    x = 18,895.82/124.64
  6. Step 6: Final answer
    x = 151.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.