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Finding the Fourth Proportional to 75.90, 114.42 and 70.68

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Solution

The fourth proportional to 75.90, 114.42 and 70.68 is: 106.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.90 : 114.42 = 70.68 : x
  2. Step 2: Convert to fraction form
    75.90/114.42 = 70.68/x
  3. Step 3: Cross multiply
    75.90x = 114.42 × 70.68
  4. Step 4: Simplify right side
    75.90x = 8,087.21
  5. Step 5: Solve for x
    x = 8,087.21/75.90
  6. Step 6: Final answer
    x = 106.55

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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.