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Finding the Fourth Proportional to 152.87, 229.41 and 101.49

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Solution

The fourth proportional to 152.87, 229.41 and 101.49 is: 152.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.87 : 229.41 = 101.49 : x
  2. Step 2: Convert to fraction form
    152.87/229.41 = 101.49/x
  3. Step 3: Cross multiply
    152.87x = 229.41 × 101.49
  4. Step 4: Simplify right side
    152.87x = 23,282.82
  5. Step 5: Solve for x
    x = 23,282.82/152.87
  6. Step 6: Final answer
    x = 152.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.