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Finding the Fourth Proportional to 79.08, 117.98 and 75.30

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Solution

The fourth proportional to 79.08, 117.98 and 75.30 is: 112.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.08 : 117.98 = 75.30 : x
  2. Step 2: Convert to fraction form
    79.08/117.98 = 75.30/x
  3. Step 3: Cross multiply
    79.08x = 117.98 × 75.30
  4. Step 4: Simplify right side
    79.08x = 8,883.52
  5. Step 5: Solve for x
    x = 8,883.52/79.08
  6. Step 6: Final answer
    x = 112.34

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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.