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Finding the Fourth Proportional to 162.77, 244.10 and 54.53

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Solution

The fourth proportional to 162.77, 244.10 and 54.53 is: 81.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.77 : 244.10 = 54.53 : x
  2. Step 2: Convert to fraction form
    162.77/244.10 = 54.53/x
  3. Step 3: Cross multiply
    162.77x = 244.10 × 54.53
  4. Step 4: Simplify right side
    162.77x = 13,309.28
  5. Step 5: Solve for x
    x = 13,309.28/162.77
  6. Step 6: Final answer
    x = 81.77

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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.