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Finding the Fourth Proportional to 111.80, 154.26 and 70.40

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Solution

The fourth proportional to 111.80, 154.26 and 70.40 is: 97.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.80 : 154.26 = 70.40 : x
  2. Step 2: Convert to fraction form
    111.80/154.26 = 70.40/x
  3. Step 3: Cross multiply
    111.80x = 154.26 × 70.40
  4. Step 4: Simplify right side
    111.80x = 10,859.90
  5. Step 5: Solve for x
    x = 10,859.90/111.80
  6. Step 6: Final answer
    x = 97.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.