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Finding the Fourth Proportional to 152.89, 229.28 and 101.80

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Solution

The fourth proportional to 152.89, 229.28 and 101.80 is: 152.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.89 : 229.28 = 101.80 : x
  2. Step 2: Convert to fraction form
    152.89/229.28 = 101.80/x
  3. Step 3: Cross multiply
    152.89x = 229.28 × 101.80
  4. Step 4: Simplify right side
    152.89x = 23,339.62
  5. Step 5: Solve for x
    x = 23,339.62/152.89
  6. Step 6: Final answer
    x = 152.66

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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.