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Finding the Fourth Proportional to 153.52, 211.76 and 116.20

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Solution

The fourth proportional to 153.52, 211.76 and 116.20 is: 160.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.52 : 211.76 = 116.20 : x
  2. Step 2: Convert to fraction form
    153.52/211.76 = 116.20/x
  3. Step 3: Cross multiply
    153.52x = 211.76 × 116.20
  4. Step 4: Simplify right side
    153.52x = 24,606.51
  5. Step 5: Solve for x
    x = 24,606.51/153.52
  6. Step 6: Final answer
    x = 160.28

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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.