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Finding the Fourth Proportional to 75.75, 113.08 and 70.53

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Solution

The fourth proportional to 75.75, 113.08 and 70.53 is: 105.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.75 : 113.08 = 70.53 : x
  2. Step 2: Convert to fraction form
    75.75/113.08 = 70.53/x
  3. Step 3: Cross multiply
    75.75x = 113.08 × 70.53
  4. Step 4: Simplify right side
    75.75x = 7,975.53
  5. Step 5: Solve for x
    x = 7,975.53/75.75
  6. Step 6: Final answer
    x = 105.29

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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.