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Finding the Fourth Proportional to 162.66, 244.20 and 101.61

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Solution

The fourth proportional to 162.66, 244.20 and 101.61 is: 152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.66 : 244.20 = 101.61 : x
  2. Step 2: Convert to fraction form
    162.66/244.20 = 101.61/x
  3. Step 3: Cross multiply
    162.66x = 244.20 × 101.61
  4. Step 4: Simplify right side
    162.66x = 24,813.16
  5. Step 5: Solve for x
    x = 24,813.16/162.66
  6. Step 6: Final answer
    x = 152.55

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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.