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Finding the Fourth Proportional to 65.13, 97.71 and 21.79

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Solution

The fourth proportional to 65.13, 97.71 and 21.79 is: 32.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.13 : 97.71 = 21.79 : x
  2. Step 2: Convert to fraction form
    65.13/97.71 = 21.79/x
  3. Step 3: Cross multiply
    65.13x = 97.71 × 21.79
  4. Step 4: Simplify right side
    65.13x = 2,128.61
  5. Step 5: Solve for x
    x = 2,128.61/65.13
  6. Step 6: Final answer
    x = 32.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.