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Finding the Fourth Proportional to 147.01, 202.89 and 97.24

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Solution

The fourth proportional to 147.01, 202.89 and 97.24 is: 134.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.01 : 202.89 = 97.24 : x
  2. Step 2: Convert to fraction form
    147.01/202.89 = 97.24/x
  3. Step 3: Cross multiply
    147.01x = 202.89 × 97.24
  4. Step 4: Simplify right side
    147.01x = 19,729.02
  5. Step 5: Solve for x
    x = 19,729.02/147.01
  6. Step 6: Final answer
    x = 134.20

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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.