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Finding the Fourth Proportional to 75.43, 112.49 and 70.84

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Solution

The fourth proportional to 75.43, 112.49 and 70.84 is: 105.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.43 : 112.49 = 70.84 : x
  2. Step 2: Convert to fraction form
    75.43/112.49 = 70.84/x
  3. Step 3: Cross multiply
    75.43x = 112.49 × 70.84
  4. Step 4: Simplify right side
    75.43x = 7,968.79
  5. Step 5: Solve for x
    x = 7,968.79/75.43
  6. Step 6: Final answer
    x = 105.64

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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.