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Finding the Fourth Proportional to 65.20, 97.70 and 29.12

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Solution

The fourth proportional to 65.20, 97.70 and 29.12 is: 43.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.20 : 97.70 = 29.12 : x
  2. Step 2: Convert to fraction form
    65.20/97.70 = 29.12/x
  3. Step 3: Cross multiply
    65.20x = 97.70 × 29.12
  4. Step 4: Simplify right side
    65.20x = 2,845.02
  5. Step 5: Solve for x
    x = 2,845.02/65.20
  6. Step 6: Final answer
    x = 43.64

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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.