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Finding the Fourth Proportional to 162.93, 243.77 and 90.84

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Solution

The fourth proportional to 162.93, 243.77 and 90.84 is: 135.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.93 : 243.77 = 90.84 : x
  2. Step 2: Convert to fraction form
    162.93/243.77 = 90.84/x
  3. Step 3: Cross multiply
    162.93x = 243.77 × 90.84
  4. Step 4: Simplify right side
    162.93x = 22,144.07
  5. Step 5: Solve for x
    x = 22,144.07/162.93
  6. Step 6: Final answer
    x = 135.91

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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.