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Finding the Fourth Proportional to 65.17, 89.86 and 61.75

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Solution

The fourth proportional to 65.17, 89.86 and 61.75 is: 85.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.17 : 89.86 = 61.75 : x
  2. Step 2: Convert to fraction form
    65.17/89.86 = 61.75/x
  3. Step 3: Cross multiply
    65.17x = 89.86 × 61.75
  4. Step 4: Simplify right side
    65.17x = 5,548.86
  5. Step 5: Solve for x
    x = 5,548.86/65.17
  6. Step 6: Final answer
    x = 85.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.