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Finding the Fourth Proportional to 65.32, 98.14 and 60.48

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Solution

The fourth proportional to 65.32, 98.14 and 60.48 is: 90.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.32 : 98.14 = 60.48 : x
  2. Step 2: Convert to fraction form
    65.32/98.14 = 60.48/x
  3. Step 3: Cross multiply
    65.32x = 98.14 × 60.48
  4. Step 4: Simplify right side
    65.32x = 5,935.51
  5. Step 5: Solve for x
    x = 5,935.51/65.32
  6. Step 6: Final answer
    x = 90.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.