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Finding the Fourth Proportional to 52.89, 72.96 and 31.06

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Solution

The fourth proportional to 52.89, 72.96 and 31.06 is: 42.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.89 : 72.96 = 31.06 : x
  2. Step 2: Convert to fraction form
    52.89/72.96 = 31.06/x
  3. Step 3: Cross multiply
    52.89x = 72.96 × 31.06
  4. Step 4: Simplify right side
    52.89x = 2,266.14
  5. Step 5: Solve for x
    x = 2,266.14/52.89
  6. Step 6: Final answer
    x = 42.85

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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.