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Finding the Fourth Proportional to 75.12, 112.49 and 70.85

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Solution

The fourth proportional to 75.12, 112.49 and 70.85 is: 106.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.12 : 112.49 = 70.85 : x
  2. Step 2: Convert to fraction form
    75.12/112.49 = 70.85/x
  3. Step 3: Cross multiply
    75.12x = 112.49 × 70.85
  4. Step 4: Simplify right side
    75.12x = 7,969.00
  5. Step 5: Solve for x
    x = 7,969.00/75.12
  6. Step 6: Final answer
    x = 106.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.