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Finding the Fourth Proportional to 75.24, 103.76 and 53.13

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Solution

The fourth proportional to 75.24, 103.76 and 53.13 is: 73.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.24 : 103.76 = 53.13 : x
  2. Step 2: Convert to fraction form
    75.24/103.76 = 53.13/x
  3. Step 3: Cross multiply
    75.24x = 103.76 × 53.13
  4. Step 4: Simplify right side
    75.24x = 5,512.50
  5. Step 5: Solve for x
    x = 5,512.50/75.24
  6. Step 6: Final answer
    x = 73.27

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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.