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Finding the Fourth Proportional to 74.80, 103.25 and 52.98

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Solution

The fourth proportional to 74.80, 103.25 and 52.98 is: 73.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.80 : 103.25 = 52.98 : x
  2. Step 2: Convert to fraction form
    74.80/103.25 = 52.98/x
  3. Step 3: Cross multiply
    74.80x = 103.25 × 52.98
  4. Step 4: Simplify right side
    74.80x = 5,470.19
  5. Step 5: Solve for x
    x = 5,470.19/74.80
  6. Step 6: Final answer
    x = 73.13

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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.