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Finding the Fourth Proportional to 97.52, 147.32 and 96.62

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Solution

The fourth proportional to 97.52, 147.32 and 96.62 is: 145.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.52 : 147.32 = 96.62 : x
  2. Step 2: Convert to fraction form
    97.52/147.32 = 96.62/x
  3. Step 3: Cross multiply
    97.52x = 147.32 × 96.62
  4. Step 4: Simplify right side
    97.52x = 14,234.06
  5. Step 5: Solve for x
    x = 14,234.06/97.52
  6. Step 6: Final answer
    x = 145.96

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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.