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Finding the Fourth Proportional to 143.16, 214.59 and 66.17

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Solution

The fourth proportional to 143.16, 214.59 and 66.17 is: 99.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.16 : 214.59 = 66.17 : x
  2. Step 2: Convert to fraction form
    143.16/214.59 = 66.17/x
  3. Step 3: Cross multiply
    143.16x = 214.59 × 66.17
  4. Step 4: Simplify right side
    143.16x = 14,200.20
  5. Step 5: Solve for x
    x = 14,200.20/143.16
  6. Step 6: Final answer
    x = 99.19

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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.