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Finding the Fourth Proportional to 147.08, 202.92 and 97.92

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Solution

The fourth proportional to 147.08, 202.92 and 97.92 is: 135.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.08 : 202.92 = 97.92 : x
  2. Step 2: Convert to fraction form
    147.08/202.92 = 97.92/x
  3. Step 3: Cross multiply
    147.08x = 202.92 × 97.92
  4. Step 4: Simplify right side
    147.08x = 19,869.93
  5. Step 5: Solve for x
    x = 19,869.93/147.08
  6. Step 6: Final answer
    x = 135.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.