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Finding the Fourth Proportional to 152.22, 228.09 and 69.86

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Solution

The fourth proportional to 152.22, 228.09 and 69.86 is: 104.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.22 : 228.09 = 69.86 : x
  2. Step 2: Convert to fraction form
    152.22/228.09 = 69.86/x
  3. Step 3: Cross multiply
    152.22x = 228.09 × 69.86
  4. Step 4: Simplify right side
    152.22x = 15,934.37
  5. Step 5: Solve for x
    x = 15,934.37/152.22
  6. Step 6: Final answer
    x = 104.68

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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.