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Finding the Fourth Proportional to 142.61, 214.13 and 117.09

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Solution

The fourth proportional to 142.61, 214.13 and 117.09 is: 175.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.61 : 214.13 = 117.09 : x
  2. Step 2: Convert to fraction form
    142.61/214.13 = 117.09/x
  3. Step 3: Cross multiply
    142.61x = 214.13 × 117.09
  4. Step 4: Simplify right side
    142.61x = 25,072.77
  5. Step 5: Solve for x
    x = 25,072.77/142.61
  6. Step 6: Final answer
    x = 175.82

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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.