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Finding the Fourth Proportional to 152.18, 228.09 and 55.94

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Solution

The fourth proportional to 152.18, 228.09 and 55.94 is: 83.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.18 : 228.09 = 55.94 : x
  2. Step 2: Convert to fraction form
    152.18/228.09 = 55.94/x
  3. Step 3: Cross multiply
    152.18x = 228.09 × 55.94
  4. Step 4: Simplify right side
    152.18x = 12,759.35
  5. Step 5: Solve for x
    x = 12,759.35/152.18
  6. Step 6: Final answer
    x = 83.84

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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.