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Finding the Fourth Proportional to 109.82, 151.77 and 90.12

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Solution

The fourth proportional to 109.82, 151.77 and 90.12 is: 124.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.82 : 151.77 = 90.12 : x
  2. Step 2: Convert to fraction form
    109.82/151.77 = 90.12/x
  3. Step 3: Cross multiply
    109.82x = 151.77 × 90.12
  4. Step 4: Simplify right side
    109.82x = 13,677.51
  5. Step 5: Solve for x
    x = 13,677.51/109.82
  6. Step 6: Final answer
    x = 124.54

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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.