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Finding the Fourth Proportional to 65.55, 90.34 and 59.78

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Solution

The fourth proportional to 65.55, 90.34 and 59.78 is: 82.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.55 : 90.34 = 59.78 : x
  2. Step 2: Convert to fraction form
    65.55/90.34 = 59.78/x
  3. Step 3: Cross multiply
    65.55x = 90.34 × 59.78
  4. Step 4: Simplify right side
    65.55x = 5,400.60
  5. Step 5: Solve for x
    x = 5,400.60/65.55
  6. Step 6: Final answer
    x = 82.39

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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.