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Finding the Fourth Proportional to 148.17, 204.48 and 86.02

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Solution

The fourth proportional to 148.17, 204.48 and 86.02 is: 118.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.17 : 204.48 = 86.02 : x
  2. Step 2: Convert to fraction form
    148.17/204.48 = 86.02/x
  3. Step 3: Cross multiply
    148.17x = 204.48 × 86.02
  4. Step 4: Simplify right side
    148.17x = 17,588.24
  5. Step 5: Solve for x
    x = 17,588.24/148.17
  6. Step 6: Final answer
    x = 118.70

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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.