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Finding the Fourth Proportional to 66.27, 91.46 and 64.53

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Solution

The fourth proportional to 66.27, 91.46 and 64.53 is: 89.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.27 : 91.46 = 64.53 : x
  2. Step 2: Convert to fraction form
    66.27/91.46 = 64.53/x
  3. Step 3: Cross multiply
    66.27x = 91.46 × 64.53
  4. Step 4: Simplify right side
    66.27x = 5,901.91
  5. Step 5: Solve for x
    x = 5,901.91/66.27
  6. Step 6: Final answer
    x = 89.06

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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.