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Finding the Fourth Proportional to 153.02, 211.02 and 111.46

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Solution

The fourth proportional to 153.02, 211.02 and 111.46 is: 153.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.02 : 211.02 = 111.46 : x
  2. Step 2: Convert to fraction form
    153.02/211.02 = 111.46/x
  3. Step 3: Cross multiply
    153.02x = 211.02 × 111.46
  4. Step 4: Simplify right side
    153.02x = 23,520.29
  5. Step 5: Solve for x
    x = 23,520.29/153.02
  6. Step 6: Final answer
    x = 153.71

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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.