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Finding the Fourth Proportional to 74.76, 103.24 and 45.68

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Solution

The fourth proportional to 74.76, 103.24 and 45.68 is: 63.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.76 : 103.24 = 45.68 : x
  2. Step 2: Convert to fraction form
    74.76/103.24 = 45.68/x
  3. Step 3: Cross multiply
    74.76x = 103.24 × 45.68
  4. Step 4: Simplify right side
    74.76x = 4,716.00
  5. Step 5: Solve for x
    x = 4,716.00/74.76
  6. Step 6: Final answer
    x = 63.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.