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Finding the Fourth Proportional to 153.29, 211.61 and 116.45

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Solution

The fourth proportional to 153.29, 211.61 and 116.45 is: 160.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.29 : 211.61 = 116.45 : x
  2. Step 2: Convert to fraction form
    153.29/211.61 = 116.45/x
  3. Step 3: Cross multiply
    153.29x = 211.61 × 116.45
  4. Step 4: Simplify right side
    153.29x = 24,641.98
  5. Step 5: Solve for x
    x = 24,641.98/153.29
  6. Step 6: Final answer
    x = 160.75

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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.