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Finding the Fourth Proportional to 65.54, 90.17 and 59.30

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Solution

The fourth proportional to 65.54, 90.17 and 59.30 is: 81.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.54 : 90.17 = 59.30 : x
  2. Step 2: Convert to fraction form
    65.54/90.17 = 59.30/x
  3. Step 3: Cross multiply
    65.54x = 90.17 × 59.30
  4. Step 4: Simplify right side
    65.54x = 5,347.08
  5. Step 5: Solve for x
    x = 5,347.08/65.54
  6. Step 6: Final answer
    x = 81.59

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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.