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Finding the Fourth Proportional to 162.07, 243 and 75.34

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Solution

The fourth proportional to 162.07, 243 and 75.34 is: 112.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.07 : 243 = 75.34 : x
  2. Step 2: Convert to fraction form
    162.07/243 = 75.34/x
  3. Step 3: Cross multiply
    162.07x = 243 × 75.34
  4. Step 4: Simplify right side
    162.07x = 18,307.62
  5. Step 5: Solve for x
    x = 18,307.62/162.07
  6. Step 6: Final answer
    x = 112.96

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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.