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Finding the Fourth Proportional to 75.34, 113.53 and 70.78

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Solution

The fourth proportional to 75.34, 113.53 and 70.78 is: 106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.34 : 113.53 = 70.78 : x
  2. Step 2: Convert to fraction form
    75.34/113.53 = 70.78/x
  3. Step 3: Cross multiply
    75.34x = 113.53 × 70.78
  4. Step 4: Simplify right side
    75.34x = 8,035.65
  5. Step 5: Solve for x
    x = 8,035.65/75.34
  6. Step 6: Final answer
    x = 106.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.