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Finding the Fourth Proportional to 66.35, 98.96 and 59.20

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Solution

The fourth proportional to 66.35, 98.96 and 59.20 is: 88.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.35 : 98.96 = 59.20 : x
  2. Step 2: Convert to fraction form
    66.35/98.96 = 59.20/x
  3. Step 3: Cross multiply
    66.35x = 98.96 × 59.20
  4. Step 4: Simplify right side
    66.35x = 5,857.89
  5. Step 5: Solve for x
    x = 5,857.89/66.35
  6. Step 6: Final answer
    x = 88.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.