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Finding the Fourth Proportional to 65.32, 98.01 and 34.90

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Solution

The fourth proportional to 65.32, 98.01 and 34.90 is: 52.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.32 : 98.01 = 34.90 : x
  2. Step 2: Convert to fraction form
    65.32/98.01 = 34.90/x
  3. Step 3: Cross multiply
    65.32x = 98.01 × 34.90
  4. Step 4: Simplify right side
    65.32x = 3,420.55
  5. Step 5: Solve for x
    x = 3,420.55/65.32
  6. Step 6: Final answer
    x = 52.37

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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.