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Finding the Fourth Proportional to 109.82, 151.56 and 72.98

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Solution

The fourth proportional to 109.82, 151.56 and 72.98 is: 100.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.82 : 151.56 = 72.98 : x
  2. Step 2: Convert to fraction form
    109.82/151.56 = 72.98/x
  3. Step 3: Cross multiply
    109.82x = 151.56 × 72.98
  4. Step 4: Simplify right side
    109.82x = 11,060.85
  5. Step 5: Solve for x
    x = 11,060.85/109.82
  6. Step 6: Final answer
    x = 100.72

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