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Finding the Fourth Proportional to 102.52, 152.89 and 97.12

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Solution

The fourth proportional to 102.52, 152.89 and 97.12 is: 144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.52 : 152.89 = 97.12 : x
  2. Step 2: Convert to fraction form
    102.52/152.89 = 97.12/x
  3. Step 3: Cross multiply
    102.52x = 152.89 × 97.12
  4. Step 4: Simplify right side
    102.52x = 14,848.68
  5. Step 5: Solve for x
    x = 14,848.68/102.52
  6. Step 6: Final answer
    x = 144.84

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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.