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Finding the Fourth Proportional to 152.56, 228.68 and 106.96

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Solution

The fourth proportional to 152.56, 228.68 and 106.96 is: 160.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.56 : 228.68 = 106.96 : x
  2. Step 2: Convert to fraction form
    152.56/228.68 = 106.96/x
  3. Step 3: Cross multiply
    152.56x = 228.68 × 106.96
  4. Step 4: Simplify right side
    152.56x = 24,459.61
  5. Step 5: Solve for x
    x = 24,459.61/152.56
  6. Step 6: Final answer
    x = 160.33

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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.