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Finding the Fourth Proportional to 90.34, 135.31 and 61.46

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Solution

The fourth proportional to 90.34, 135.31 and 61.46 is: 92.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.34 : 135.31 = 61.46 : x
  2. Step 2: Convert to fraction form
    90.34/135.31 = 61.46/x
  3. Step 3: Cross multiply
    90.34x = 135.31 × 61.46
  4. Step 4: Simplify right side
    90.34x = 8,316.15
  5. Step 5: Solve for x
    x = 8,316.15/90.34
  6. Step 6: Final answer
    x = 92.05

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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.