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Finding the Fourth Proportional to 51.84, 71.50 and 31.12

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Solution

The fourth proportional to 51.84, 71.50 and 31.12 is: 42.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.84 : 71.50 = 31.12 : x
  2. Step 2: Convert to fraction form
    51.84/71.50 = 31.12/x
  3. Step 3: Cross multiply
    51.84x = 71.50 × 31.12
  4. Step 4: Simplify right side
    51.84x = 2,225.08
  5. Step 5: Solve for x
    x = 2,225.08/51.84
  6. Step 6: Final answer
    x = 42.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.