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Finding the Fourth Proportional to 73.19, 109.08 and 73.08

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Solution

The fourth proportional to 73.19, 109.08 and 73.08 is: 108.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.19 : 109.08 = 73.08 : x
  2. Step 2: Convert to fraction form
    73.19/109.08 = 73.08/x
  3. Step 3: Cross multiply
    73.19x = 109.08 × 73.08
  4. Step 4: Simplify right side
    73.19x = 7,971.57
  5. Step 5: Solve for x
    x = 7,971.57/73.19
  6. Step 6: Final answer
    x = 108.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.