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Finding the Fourth Proportional to 97.08, 133.88 and 90.14

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Solution

The fourth proportional to 97.08, 133.88 and 90.14 is: 124.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.08 : 133.88 = 90.14 : x
  2. Step 2: Convert to fraction form
    97.08/133.88 = 90.14/x
  3. Step 3: Cross multiply
    97.08x = 133.88 × 90.14
  4. Step 4: Simplify right side
    97.08x = 12,067.94
  5. Step 5: Solve for x
    x = 12,067.94/97.08
  6. Step 6: Final answer
    x = 124.31

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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.