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Finding the Fourth Proportional to 97.46, 145.21 and 91.25

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Solution

The fourth proportional to 97.46, 145.21 and 91.25 is: 135.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.46 : 145.21 = 91.25 : x
  2. Step 2: Convert to fraction form
    97.46/145.21 = 91.25/x
  3. Step 3: Cross multiply
    97.46x = 145.21 × 91.25
  4. Step 4: Simplify right side
    97.46x = 13,250.41
  5. Step 5: Solve for x
    x = 13,250.41/97.46
  6. Step 6: Final answer
    x = 135.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.