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Finding the Fourth Proportional to 158.04, 218.16 and 111.48

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Solution

The fourth proportional to 158.04, 218.16 and 111.48 is: 153.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.04 : 218.16 = 111.48 : x
  2. Step 2: Convert to fraction form
    158.04/218.16 = 111.48/x
  3. Step 3: Cross multiply
    158.04x = 218.16 × 111.48
  4. Step 4: Simplify right side
    158.04x = 24,320.48
  5. Step 5: Solve for x
    x = 24,320.48/158.04
  6. Step 6: Final answer
    x = 153.89

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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.