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Finding the Fourth Proportional to 124.23, 186.24 and 97.10

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Solution

The fourth proportional to 124.23, 186.24 and 97.10 is: 145.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.23 : 186.24 = 97.10 : x
  2. Step 2: Convert to fraction form
    124.23/186.24 = 97.10/x
  3. Step 3: Cross multiply
    124.23x = 186.24 × 97.10
  4. Step 4: Simplify right side
    124.23x = 18,082.97
  5. Step 5: Solve for x
    x = 18,082.97/124.23
  6. Step 6: Final answer
    x = 145.56

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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.