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Finding the Fourth Proportional to 152.01, 209.62 and 102.20

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Solution

The fourth proportional to 152.01, 209.62 and 102.20 is: 140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.01 : 209.62 = 102.20 : x
  2. Step 2: Convert to fraction form
    152.01/209.62 = 102.20/x
  3. Step 3: Cross multiply
    152.01x = 209.62 × 102.20
  4. Step 4: Simplify right side
    152.01x = 21,422.24
  5. Step 5: Solve for x
    x = 21,422.24/152.01
  6. Step 6: Final answer
    x = 140.93

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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.