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Finding the Fourth Proportional to 102, 152.34 and 86.61

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Solution

The fourth proportional to 102, 152.34 and 86.61 is: 129.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102 : 152.34 = 86.61 : x
  2. Step 2: Convert to fraction form
    102/152.34 = 86.61/x
  3. Step 3: Cross multiply
    102x = 152.34 × 86.61
  4. Step 4: Simplify right side
    102x = 13,194.17
  5. Step 5: Solve for x
    x = 13,194.17/102
  6. Step 6: Final answer
    x = 129.35

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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.