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Finding the Fourth Proportional to 71.28, 98.28 and 65.16

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Solution

The fourth proportional to 71.28, 98.28 and 65.16 is: 89.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.28 : 98.28 = 65.16 : x
  2. Step 2: Convert to fraction form
    71.28/98.28 = 65.16/x
  3. Step 3: Cross multiply
    71.28x = 98.28 × 65.16
  4. Step 4: Simplify right side
    71.28x = 6,403.92
  5. Step 5: Solve for x
    x = 6,403.92/71.28
  6. Step 6: Final answer
    x = 89.84

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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.