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Finding the Fourth Proportional to 66.16, 91.20 and 61.36

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Solution

The fourth proportional to 66.16, 91.20 and 61.36 is: 84.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.16 : 91.20 = 61.36 : x
  2. Step 2: Convert to fraction form
    66.16/91.20 = 61.36/x
  3. Step 3: Cross multiply
    66.16x = 91.20 × 61.36
  4. Step 4: Simplify right side
    66.16x = 5,596.03
  5. Step 5: Solve for x
    x = 5,596.03/66.16
  6. Step 6: Final answer
    x = 84.58

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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.