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Finding the Fourth Proportional to 152.15, 228.01 and 69.83

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Solution

The fourth proportional to 152.15, 228.01 and 69.83 is: 104.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.15 : 228.01 = 69.83 : x
  2. Step 2: Convert to fraction form
    152.15/228.01 = 69.83/x
  3. Step 3: Cross multiply
    152.15x = 228.01 × 69.83
  4. Step 4: Simplify right side
    152.15x = 15,922.60
  5. Step 5: Solve for x
    x = 15,922.60/152.15
  6. Step 6: Final answer
    x = 104.65

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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.