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Finding the Fourth Proportional to 162.09, 242.82 and 101.34

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Solution

The fourth proportional to 162.09, 242.82 and 101.34 is: 151.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.09 : 242.82 = 101.34 : x
  2. Step 2: Convert to fraction form
    162.09/242.82 = 101.34/x
  3. Step 3: Cross multiply
    162.09x = 242.82 × 101.34
  4. Step 4: Simplify right side
    162.09x = 24,607.38
  5. Step 5: Solve for x
    x = 24,607.38/162.09
  6. Step 6: Final answer
    x = 151.81

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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.