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Finding the Fourth Proportional to 124.61, 171.82 and 87.78

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Solution

The fourth proportional to 124.61, 171.82 and 87.78 is: 121.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.61 : 171.82 = 87.78 : x
  2. Step 2: Convert to fraction form
    124.61/171.82 = 87.78/x
  3. Step 3: Cross multiply
    124.61x = 171.82 × 87.78
  4. Step 4: Simplify right side
    124.61x = 15,083.11
  5. Step 5: Solve for x
    x = 15,083.11/124.61
  6. Step 6: Final answer
    x = 121.05

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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.