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Finding the Fourth Proportional to 113.80, 153.75 and 113.80

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Solution

The fourth proportional to 113.80, 153.75 and 113.80 is: 153.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.80 : 153.75 = 113.80 : x
  2. Step 2: Convert to fraction form
    113.80/153.75 = 113.80/x
  3. Step 3: Cross multiply
    113.80x = 153.75 × 113.80
  4. Step 4: Simplify right side
    113.80x = 17,496.75
  5. Step 5: Solve for x
    x = 17,496.75/113.80
  6. Step 6: Final answer
    x = 153.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.