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Finding the Fourth Proportional to 152.32, 228.16 and 80.20

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Solution

The fourth proportional to 152.32, 228.16 and 80.20 is: 120.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.32 : 228.16 = 80.20 : x
  2. Step 2: Convert to fraction form
    152.32/228.16 = 80.20/x
  3. Step 3: Cross multiply
    152.32x = 228.16 × 80.20
  4. Step 4: Simplify right side
    152.32x = 18,298.43
  5. Step 5: Solve for x
    x = 18,298.43/152.32
  6. Step 6: Final answer
    x = 120.13

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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.