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Finding the Fourth Proportional to 74.58, 102.97 and 52.71

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Solution

The fourth proportional to 74.58, 102.97 and 52.71 is: 72.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.58 : 102.97 = 52.71 : x
  2. Step 2: Convert to fraction form
    74.58/102.97 = 52.71/x
  3. Step 3: Cross multiply
    74.58x = 102.97 × 52.71
  4. Step 4: Simplify right side
    74.58x = 5,427.03
  5. Step 5: Solve for x
    x = 5,427.03/74.58
  6. Step 6: Final answer
    x = 72.77

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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.