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Finding the Fourth Proportional to 72.64, 109.58 and 71.04

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Solution

The fourth proportional to 72.64, 109.58 and 71.04 is: 107.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.64 : 109.58 = 71.04 : x
  2. Step 2: Convert to fraction form
    72.64/109.58 = 71.04/x
  3. Step 3: Cross multiply
    72.64x = 109.58 × 71.04
  4. Step 4: Simplify right side
    72.64x = 7,784.56
  5. Step 5: Solve for x
    x = 7,784.56/72.64
  6. Step 6: Final answer
    x = 107.17

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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.