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Finding the Fourth Proportional to 109.95, 164.67 and 61.13

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Solution

The fourth proportional to 109.95, 164.67 and 61.13 is: 91.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.95 : 164.67 = 61.13 : x
  2. Step 2: Convert to fraction form
    109.95/164.67 = 61.13/x
  3. Step 3: Cross multiply
    109.95x = 164.67 × 61.13
  4. Step 4: Simplify right side
    109.95x = 10,066.28
  5. Step 5: Solve for x
    x = 10,066.28/109.95
  6. Step 6: Final answer
    x = 91.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.