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Finding the Fourth Proportional to 91.32, 137.00 and 30.45

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Solution

The fourth proportional to 91.32, 137.00 and 30.45 is: 45.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.32 : 137.00 = 30.45 : x
  2. Step 2: Convert to fraction form
    91.32/137.00 = 30.45/x
  3. Step 3: Cross multiply
    91.32x = 137.00 × 30.45
  4. Step 4: Simplify right side
    91.32x = 4,171.57
  5. Step 5: Solve for x
    x = 4,171.57/91.32
  6. Step 6: Final answer
    x = 45.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.