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Finding the Fourth Proportional to 66.59, 91.85 and 45.59

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Solution

The fourth proportional to 66.59, 91.85 and 45.59 is: 62.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.59 : 91.85 = 45.59 : x
  2. Step 2: Convert to fraction form
    66.59/91.85 = 45.59/x
  3. Step 3: Cross multiply
    66.59x = 91.85 × 45.59
  4. Step 4: Simplify right side
    66.59x = 4,187.21
  5. Step 5: Solve for x
    x = 4,187.21/66.59
  6. Step 6: Final answer
    x = 62.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.