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Finding the Fourth Proportional to 75.14, 103.76 and 53.38

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Solution

The fourth proportional to 75.14, 103.76 and 53.38 is: 73.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.14 : 103.76 = 53.38 : x
  2. Step 2: Convert to fraction form
    75.14/103.76 = 53.38/x
  3. Step 3: Cross multiply
    75.14x = 103.76 × 53.38
  4. Step 4: Simplify right side
    75.14x = 5,538.71
  5. Step 5: Solve for x
    x = 5,538.71/75.14
  6. Step 6: Final answer
    x = 73.71

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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.