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Finding the Fourth Proportional to 102.54, 153.08 and 87.16

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Solution

The fourth proportional to 102.54, 153.08 and 87.16 is: 130.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.54 : 153.08 = 87.16 : x
  2. Step 2: Convert to fraction form
    102.54/153.08 = 87.16/x
  3. Step 3: Cross multiply
    102.54x = 153.08 × 87.16
  4. Step 4: Simplify right side
    102.54x = 13,342.45
  5. Step 5: Solve for x
    x = 13,342.45/102.54
  6. Step 6: Final answer
    x = 130.12

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Why These Related Problems?

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