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Finding the Fourth Proportional to 91.88, 137.81 and 31.00

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Solution

The fourth proportional to 91.88, 137.81 and 31.00 is: 46.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.88 : 137.81 = 31.00 : x
  2. Step 2: Convert to fraction form
    91.88/137.81 = 31.00/x
  3. Step 3: Cross multiply
    91.88x = 137.81 × 31.00
  4. Step 4: Simplify right side
    91.88x = 4,271.42
  5. Step 5: Solve for x
    x = 4,271.42/91.88
  6. Step 6: Final answer
    x = 46.49

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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.