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Finding the Fourth Proportional to 97.47, 145.89 and 67.02

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Solution

The fourth proportional to 97.47, 145.89 and 67.02 is: 100.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.47 : 145.89 = 67.02 : x
  2. Step 2: Convert to fraction form
    97.47/145.89 = 67.02/x
  3. Step 3: Cross multiply
    97.47x = 145.89 × 67.02
  4. Step 4: Simplify right side
    97.47x = 9,777.55
  5. Step 5: Solve for x
    x = 9,777.55/97.47
  6. Step 6: Final answer
    x = 100.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.