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Finding the Fourth Proportional to 52.64, 72.14 and 52.33

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Solution

The fourth proportional to 52.64, 72.14 and 52.33 is: 71.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.64 : 72.14 = 52.33 : x
  2. Step 2: Convert to fraction form
    52.64/72.14 = 52.33/x
  3. Step 3: Cross multiply
    52.64x = 72.14 × 52.33
  4. Step 4: Simplify right side
    52.64x = 3,775.09
  5. Step 5: Solve for x
    x = 3,775.09/52.64
  6. Step 6: Final answer
    x = 71.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.