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Finding the Fourth Proportional to 119.62, 165.06 and 72.98

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Solution

The fourth proportional to 119.62, 165.06 and 72.98 is: 100.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.62 : 165.06 = 72.98 : x
  2. Step 2: Convert to fraction form
    119.62/165.06 = 72.98/x
  3. Step 3: Cross multiply
    119.62x = 165.06 × 72.98
  4. Step 4: Simplify right side
    119.62x = 12,045.87
  5. Step 5: Solve for x
    x = 12,045.87/119.62
  6. Step 6: Final answer
    x = 100.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.