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Finding the Fourth Proportional to 69.60, 96.48 and 65.28

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Solution

The fourth proportional to 69.60, 96.48 and 65.28 is: 90.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.60 : 96.48 = 65.28 : x
  2. Step 2: Convert to fraction form
    69.60/96.48 = 65.28/x
  3. Step 3: Cross multiply
    69.60x = 96.48 × 65.28
  4. Step 4: Simplify right side
    69.60x = 6,298.21
  5. Step 5: Solve for x
    x = 6,298.21/69.60
  6. Step 6: Final answer
    x = 90.49

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.