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Finding the Fourth Proportional to 66.93, 91.65 and 64.20

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Solution

The fourth proportional to 66.93, 91.65 and 64.20 is: 87.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.93 : 91.65 = 64.20 : x
  2. Step 2: Convert to fraction form
    66.93/91.65 = 64.20/x
  3. Step 3: Cross multiply
    66.93x = 91.65 × 64.20
  4. Step 4: Simplify right side
    66.93x = 5,883.93
  5. Step 5: Solve for x
    x = 5,883.93/66.93
  6. Step 6: Final answer
    x = 87.91

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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.