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Finding the Fourth Proportional to 162.25, 243.40 and 75.58

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Solution

The fourth proportional to 162.25, 243.40 and 75.58 is: 113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.25 : 243.40 = 75.58 : x
  2. Step 2: Convert to fraction form
    162.25/243.40 = 75.58/x
  3. Step 3: Cross multiply
    162.25x = 243.40 × 75.58
  4. Step 4: Simplify right side
    162.25x = 18,396.17
  5. Step 5: Solve for x
    x = 18,396.17/162.25
  6. Step 6: Final answer
    x = 113.38

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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.