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Finding the Fourth Proportional to 91.52, 138.08 and 87.02

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Solution

The fourth proportional to 91.52, 138.08 and 87.02 is: 131.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.52 : 138.08 = 87.02 : x
  2. Step 2: Convert to fraction form
    91.52/138.08 = 87.02/x
  3. Step 3: Cross multiply
    91.52x = 138.08 × 87.02
  4. Step 4: Simplify right side
    91.52x = 12,015.72
  5. Step 5: Solve for x
    x = 12,015.72/91.52
  6. Step 6: Final answer
    x = 131.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.