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Finding the Fourth Proportional to 91.58, 137.38 and 30.69

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Solution

The fourth proportional to 91.58, 137.38 and 30.69 is: 46.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.58 : 137.38 = 30.69 : x
  2. Step 2: Convert to fraction form
    91.58/137.38 = 30.69/x
  3. Step 3: Cross multiply
    91.58x = 137.38 × 30.69
  4. Step 4: Simplify right side
    91.58x = 4,216.46
  5. Step 5: Solve for x
    x = 4,216.46/91.58
  6. Step 6: Final answer
    x = 46.04

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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.