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Finding the Fourth Proportional to 109.51, 151.06 and 68.10

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Solution

The fourth proportional to 109.51, 151.06 and 68.10 is: 93.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.51 : 151.06 = 68.10 : x
  2. Step 2: Convert to fraction form
    109.51/151.06 = 68.10/x
  3. Step 3: Cross multiply
    109.51x = 151.06 × 68.10
  4. Step 4: Simplify right side
    109.51x = 10,287.19
  5. Step 5: Solve for x
    x = 10,287.19/109.51
  6. Step 6: Final answer
    x = 93.94

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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.