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Finding the Fourth Proportional to 75.59, 112.85 and 58.38

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Solution

The fourth proportional to 75.59, 112.85 and 58.38 is: 87.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.59 : 112.85 = 58.38 : x
  2. Step 2: Convert to fraction form
    75.59/112.85 = 58.38/x
  3. Step 3: Cross multiply
    75.59x = 112.85 × 58.38
  4. Step 4: Simplify right side
    75.59x = 6,588.18
  5. Step 5: Solve for x
    x = 6,588.18/75.59
  6. Step 6: Final answer
    x = 87.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.