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Finding the Fourth Proportional to 66.74, 91.54 and 65.72

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Solution

The fourth proportional to 66.74, 91.54 and 65.72 is: 90.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.74 : 91.54 = 65.72 : x
  2. Step 2: Convert to fraction form
    66.74/91.54 = 65.72/x
  3. Step 3: Cross multiply
    66.74x = 91.54 × 65.72
  4. Step 4: Simplify right side
    66.74x = 6,016.01
  5. Step 5: Solve for x
    x = 6,016.01/66.74
  6. Step 6: Final answer
    x = 90.14

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.