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Finding the Fourth Proportional to 72.42, 107.90 and 69.54

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Solution

The fourth proportional to 72.42, 107.90 and 69.54 is: 103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.42 : 107.90 = 69.54 : x
  2. Step 2: Convert to fraction form
    72.42/107.90 = 69.54/x
  3. Step 3: Cross multiply
    72.42x = 107.90 × 69.54
  4. Step 4: Simplify right side
    72.42x = 7,503.02
  5. Step 5: Solve for x
    x = 7,503.02/72.42
  6. Step 6: Final answer
    x = 103.60

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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.