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Finding the Fourth Proportional to 124.75, 171.92 and 105.10

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Solution

The fourth proportional to 124.75, 171.92 and 105.10 is: 144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.75 : 171.92 = 105.10 : x
  2. Step 2: Convert to fraction form
    124.75/171.92 = 105.10/x
  3. Step 3: Cross multiply
    124.75x = 171.92 × 105.10
  4. Step 4: Simplify right side
    124.75x = 18,068.79
  5. Step 5: Solve for x
    x = 18,068.79/124.75
  6. Step 6: Final answer
    x = 144.84

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