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Finding the Fourth Proportional to 153.10, 211.31 and 97.80

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Solution

The fourth proportional to 153.10, 211.31 and 97.80 is: 134.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.10 : 211.31 = 97.80 : x
  2. Step 2: Convert to fraction form
    153.10/211.31 = 97.80/x
  3. Step 3: Cross multiply
    153.10x = 211.31 × 97.80
  4. Step 4: Simplify right side
    153.10x = 20,666.12
  5. Step 5: Solve for x
    x = 20,666.12/153.10
  6. Step 6: Final answer
    x = 134.98

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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.