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Finding the Fourth Proportional to 31.85, 47.77 and 9.02

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Solution

The fourth proportional to 31.85, 47.77 and 9.02 is: 13.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.85 : 47.77 = 9.02 : x
  2. Step 2: Convert to fraction form
    31.85/47.77 = 9.02/x
  3. Step 3: Cross multiply
    31.85x = 47.77 × 9.02
  4. Step 4: Simplify right side
    31.85x = 431.08
  5. Step 5: Solve for x
    x = 431.08/31.85
  6. Step 6: Final answer
    x = 13.53

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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.