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Finding the Fourth Proportional to 153.24, 211.40 and 111.74

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Solution

The fourth proportional to 153.24, 211.40 and 111.74 is: 154.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.24 : 211.40 = 111.74 : x
  2. Step 2: Convert to fraction form
    153.24/211.40 = 111.74/x
  3. Step 3: Cross multiply
    153.24x = 211.40 × 111.74
  4. Step 4: Simplify right side
    153.24x = 23,621.84
  5. Step 5: Solve for x
    x = 23,621.84/153.24
  6. Step 6: Final answer
    x = 154.15

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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.