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Finding the Fourth Proportional to 153.40, 211.70 and 87.02

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Solution

The fourth proportional to 153.40, 211.70 and 87.02 is: 120.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.40 : 211.70 = 87.02 : x
  2. Step 2: Convert to fraction form
    153.40/211.70 = 87.02/x
  3. Step 3: Cross multiply
    153.40x = 211.70 × 87.02
  4. Step 4: Simplify right side
    153.40x = 18,422.09
  5. Step 5: Solve for x
    x = 18,422.09/153.40
  6. Step 6: Final answer
    x = 120.09

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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.