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Finding the Fourth Proportional to 65.42, 98.10 and 32.90

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Solution

The fourth proportional to 65.42, 98.10 and 32.90 is: 49.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.42 : 98.10 = 32.90 : x
  2. Step 2: Convert to fraction form
    65.42/98.10 = 32.90/x
  3. Step 3: Cross multiply
    65.42x = 98.10 × 32.90
  4. Step 4: Simplify right side
    65.42x = 3,227.49
  5. Step 5: Solve for x
    x = 3,227.49/65.42
  6. Step 6: Final answer
    x = 49.33

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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.