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Finding the Fourth Proportional to 66.17, 99.29 and 25.60

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Solution

The fourth proportional to 66.17, 99.29 and 25.60 is: 38.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.17 : 99.29 = 25.60 : x
  2. Step 2: Convert to fraction form
    66.17/99.29 = 25.60/x
  3. Step 3: Cross multiply
    66.17x = 99.29 × 25.60
  4. Step 4: Simplify right side
    66.17x = 2,541.45
  5. Step 5: Solve for x
    x = 2,541.45/66.17
  6. Step 6: Final answer
    x = 38.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.