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Finding the Fourth Proportional to 65.06, 97.65 and 34.59

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Solution

The fourth proportional to 65.06, 97.65 and 34.59 is: 51.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.06 : 97.65 = 34.59 : x
  2. Step 2: Convert to fraction form
    65.06/97.65 = 34.59/x
  3. Step 3: Cross multiply
    65.06x = 97.65 × 34.59
  4. Step 4: Simplify right side
    65.06x = 3,377.71
  5. Step 5: Solve for x
    x = 3,377.71/65.06
  6. Step 6: Final answer
    x = 51.91

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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.