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Finding the Fourth Proportional to 101.62, 151.70 and 97.19

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Solution

The fourth proportional to 101.62, 151.70 and 97.19 is: 145.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.62 : 151.70 = 97.19 : x
  2. Step 2: Convert to fraction form
    101.62/151.70 = 97.19/x
  3. Step 3: Cross multiply
    101.62x = 151.70 × 97.19
  4. Step 4: Simplify right side
    101.62x = 14,743.72
  5. Step 5: Solve for x
    x = 14,743.72/101.62
  6. Step 6: Final answer
    x = 145.09

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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.