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Finding the Fourth Proportional to 65.20, 98.19 and 59.39

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Solution

The fourth proportional to 65.20, 98.19 and 59.39 is: 89.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.20 : 98.19 = 59.39 : x
  2. Step 2: Convert to fraction form
    65.20/98.19 = 59.39/x
  3. Step 3: Cross multiply
    65.20x = 98.19 × 59.39
  4. Step 4: Simplify right side
    65.20x = 5,831.21
  5. Step 5: Solve for x
    x = 5,831.21/65.20
  6. Step 6: Final answer
    x = 89.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.