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Finding the Fourth Proportional to 124.02, 185.84 and 97.02

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Solution

The fourth proportional to 124.02, 185.84 and 97.02 is: 145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.02 : 185.84 = 97.02 : x
  2. Step 2: Convert to fraction form
    124.02/185.84 = 97.02/x
  3. Step 3: Cross multiply
    124.02x = 185.84 × 97.02
  4. Step 4: Simplify right side
    124.02x = 18,030.20
  5. Step 5: Solve for x
    x = 18,030.20/124.02
  6. Step 6: Final answer
    x = 145.38

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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.