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Finding the Fourth Proportional to 153.18, 211.14 and 106.56

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Solution

The fourth proportional to 153.18, 211.14 and 106.56 is: 146.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.18 : 211.14 = 106.56 : x
  2. Step 2: Convert to fraction form
    153.18/211.14 = 106.56/x
  3. Step 3: Cross multiply
    153.18x = 211.14 × 106.56
  4. Step 4: Simplify right side
    153.18x = 22,499.08
  5. Step 5: Solve for x
    x = 22,499.08/153.18
  6. Step 6: Final answer
    x = 146.88

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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.