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Finding the Fourth Proportional to 75.08, 103.67 and 58.76

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Solution

The fourth proportional to 75.08, 103.67 and 58.76 is: 81.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.08 : 103.67 = 58.76 : x
  2. Step 2: Convert to fraction form
    75.08/103.67 = 58.76/x
  3. Step 3: Cross multiply
    75.08x = 103.67 × 58.76
  4. Step 4: Simplify right side
    75.08x = 6,091.28
  5. Step 5: Solve for x
    x = 6,091.28/75.08
  6. Step 6: Final answer
    x = 81.13

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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.