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Finding the Fourth Proportional to 75.08, 103.57 and 57.58

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Solution

The fourth proportional to 75.08, 103.57 and 57.58 is: 79.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.08 : 103.57 = 57.58 : x
  2. Step 2: Convert to fraction form
    75.08/103.57 = 57.58/x
  3. Step 3: Cross multiply
    75.08x = 103.57 × 57.58
  4. Step 4: Simplify right side
    75.08x = 5,963.16
  5. Step 5: Solve for x
    x = 5,963.16/75.08
  6. Step 6: Final answer
    x = 79.42

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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.