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Finding the Fourth Proportional to 35.02, 52.55 and 24.86

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Solution

The fourth proportional to 35.02, 52.55 and 24.86 is: 37.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.02 : 52.55 = 24.86 : x
  2. Step 2: Convert to fraction form
    35.02/52.55 = 24.86/x
  3. Step 3: Cross multiply
    35.02x = 52.55 × 24.86
  4. Step 4: Simplify right side
    35.02x = 1,306.49
  5. Step 5: Solve for x
    x = 1,306.49/35.02
  6. Step 6: Final answer
    x = 37.31

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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.