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Finding the Fourth Proportional to 52.97, 73.10 and 31.16

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Solution

The fourth proportional to 52.97, 73.10 and 31.16 is: 43.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.97 : 73.10 = 31.16 : x
  2. Step 2: Convert to fraction form
    52.97/73.10 = 31.16/x
  3. Step 3: Cross multiply
    52.97x = 73.10 × 31.16
  4. Step 4: Simplify right side
    52.97x = 2,277.27
  5. Step 5: Solve for x
    x = 2,277.27/52.97
  6. Step 6: Final answer
    x = 43.00

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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.