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Finding the Fourth Proportional to 152.32, 228.60 and 80.22

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Solution

The fourth proportional to 152.32, 228.60 and 80.22 is: 120.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.32 : 228.60 = 80.22 : x
  2. Step 2: Convert to fraction form
    152.32/228.60 = 80.22/x
  3. Step 3: Cross multiply
    152.32x = 228.60 × 80.22
  4. Step 4: Simplify right side
    152.32x = 18,338.29
  5. Step 5: Solve for x
    x = 18,338.29/152.32
  6. Step 6: Final answer
    x = 120.39

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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.