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Finding the Fourth Proportional to 152.10, 227.77 and 87.86

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Solution

The fourth proportional to 152.10, 227.77 and 87.86 is: 131.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.10 : 227.77 = 87.86 : x
  2. Step 2: Convert to fraction form
    152.10/227.77 = 87.86/x
  3. Step 3: Cross multiply
    152.10x = 227.77 × 87.86
  4. Step 4: Simplify right side
    152.10x = 20,011.87
  5. Step 5: Solve for x
    x = 20,011.87/152.10
  6. Step 6: Final answer
    x = 131.57

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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.