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Finding the Fourth Proportional to 152.29, 228.42 and 54.78

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Solution

The fourth proportional to 152.29, 228.42 and 54.78 is: 82.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.29 : 228.42 = 54.78 : x
  2. Step 2: Convert to fraction form
    152.29/228.42 = 54.78/x
  3. Step 3: Cross multiply
    152.29x = 228.42 × 54.78
  4. Step 4: Simplify right side
    152.29x = 12,512.85
  5. Step 5: Solve for x
    x = 12,512.85/152.29
  6. Step 6: Final answer
    x = 82.16

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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.