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Finding the Fourth Proportional to 72.90, 108.72 and 65.19

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Solution

The fourth proportional to 72.90, 108.72 and 65.19 is: 97.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.90 : 108.72 = 65.19 : x
  2. Step 2: Convert to fraction form
    72.90/108.72 = 65.19/x
  3. Step 3: Cross multiply
    72.90x = 108.72 × 65.19
  4. Step 4: Simplify right side
    72.90x = 7,087.46
  5. Step 5: Solve for x
    x = 7,087.46/72.90
  6. Step 6: Final answer
    x = 97.22

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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.