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Finding the Fourth Proportional to 162.98, 244.47 and 54.72

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Solution

The fourth proportional to 162.98, 244.47 and 54.72 is: 82.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.98 : 244.47 = 54.72 : x
  2. Step 2: Convert to fraction form
    162.98/244.47 = 54.72/x
  3. Step 3: Cross multiply
    162.98x = 244.47 × 54.72
  4. Step 4: Simplify right side
    162.98x = 13,377.40
  5. Step 5: Solve for x
    x = 13,377.40/162.98
  6. Step 6: Final answer
    x = 82.08

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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.