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Finding the Fourth Proportional to 91.86, 137.81 and 30.15

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Solution

The fourth proportional to 91.86, 137.81 and 30.15 is: 45.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.86 : 137.81 = 30.15 : x
  2. Step 2: Convert to fraction form
    91.86/137.81 = 30.15/x
  3. Step 3: Cross multiply
    91.86x = 137.81 × 30.15
  4. Step 4: Simplify right side
    91.86x = 4,154.82
  5. Step 5: Solve for x
    x = 4,154.82/91.86
  6. Step 6: Final answer
    x = 45.23

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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.