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Finding the Fourth Proportional to 72.39, 109.16 and 71.58

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Solution

The fourth proportional to 72.39, 109.16 and 71.58 is: 107.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.39 : 109.16 = 71.58 : x
  2. Step 2: Convert to fraction form
    72.39/109.16 = 71.58/x
  3. Step 3: Cross multiply
    72.39x = 109.16 × 71.58
  4. Step 4: Simplify right side
    72.39x = 7,813.31
  5. Step 5: Solve for x
    x = 7,813.31/72.39
  6. Step 6: Final answer
    x = 107.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.