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Finding the Fourth Proportional to 87.74, 120.98 and 56.61

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Solution

The fourth proportional to 87.74, 120.98 and 56.61 is: 78.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.74 : 120.98 = 56.61 : x
  2. Step 2: Convert to fraction form
    87.74/120.98 = 56.61/x
  3. Step 3: Cross multiply
    87.74x = 120.98 × 56.61
  4. Step 4: Simplify right side
    87.74x = 6,848.39
  5. Step 5: Solve for x
    x = 6,848.39/87.74
  6. Step 6: Final answer
    x = 78.06

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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.