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Finding the Fourth Proportional to 162.70, 244.05 and 59.98

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Solution

The fourth proportional to 162.70, 244.05 and 59.98 is: 89.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.70 : 244.05 = 59.98 : x
  2. Step 2: Convert to fraction form
    162.70/244.05 = 59.98/x
  3. Step 3: Cross multiply
    162.70x = 244.05 × 59.98
  4. Step 4: Simplify right side
    162.70x = 14,638.12
  5. Step 5: Solve for x
    x = 14,638.12/162.70
  6. Step 6: Final answer
    x = 89.97

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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.