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Finding the Fourth Proportional to 153.16, 211.24 and 109.56

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Solution

The fourth proportional to 153.16, 211.24 and 109.56 is: 151.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.16 : 211.24 = 109.56 : x
  2. Step 2: Convert to fraction form
    153.16/211.24 = 109.56/x
  3. Step 3: Cross multiply
    153.16x = 211.24 × 109.56
  4. Step 4: Simplify right side
    153.16x = 23,143.45
  5. Step 5: Solve for x
    x = 23,143.45/153.16
  6. Step 6: Final answer
    x = 151.11

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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.