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Finding the Fourth Proportional to 162.04, 223.52 and 99.86

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Solution

The fourth proportional to 162.04, 223.52 and 99.86 is: 137.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.04 : 223.52 = 99.86 : x
  2. Step 2: Convert to fraction form
    162.04/223.52 = 99.86/x
  3. Step 3: Cross multiply
    162.04x = 223.52 × 99.86
  4. Step 4: Simplify right side
    162.04x = 22,320.71
  5. Step 5: Solve for x
    x = 22,320.71/162.04
  6. Step 6: Final answer
    x = 137.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.