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Finding the Fourth Proportional to 87.72, 130.67 and 87.54

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Solution

The fourth proportional to 87.72, 130.67 and 87.54 is: 130.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.72 : 130.67 = 87.54 : x
  2. Step 2: Convert to fraction form
    87.72/130.67 = 87.54/x
  3. Step 3: Cross multiply
    87.72x = 130.67 × 87.54
  4. Step 4: Simplify right side
    87.72x = 11,438.41
  5. Step 5: Solve for x
    x = 11,438.41/87.72
  6. Step 6: Final answer
    x = 130.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.