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Finding the Fourth Proportional to 52.96, 73.08 and 31.14

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Solution

The fourth proportional to 52.96, 73.08 and 31.14 is: 42.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.96 : 73.08 = 31.14 : x
  2. Step 2: Convert to fraction form
    52.96/73.08 = 31.14/x
  3. Step 3: Cross multiply
    52.96x = 73.08 × 31.14
  4. Step 4: Simplify right side
    52.96x = 2,275.71
  5. Step 5: Solve for x
    x = 2,275.71/52.96
  6. Step 6: Final answer
    x = 42.97

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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.