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Finding the Fourth Proportional to 65.22, 97.80 and 29.16

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Solution

The fourth proportional to 65.22, 97.80 and 29.16 is: 43.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.22 : 97.80 = 29.16 : x
  2. Step 2: Convert to fraction form
    65.22/97.80 = 29.16/x
  3. Step 3: Cross multiply
    65.22x = 97.80 × 29.16
  4. Step 4: Simplify right side
    65.22x = 2,851.85
  5. Step 5: Solve for x
    x = 2,851.85/65.22
  6. Step 6: Final answer
    x = 43.73

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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.