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Finding the Fourth Proportional to 107.58, 148.74 and 102.72

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Solution

The fourth proportional to 107.58, 148.74 and 102.72 is: 142.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.58 : 148.74 = 102.72 : x
  2. Step 2: Convert to fraction form
    107.58/148.74 = 102.72/x
  3. Step 3: Cross multiply
    107.58x = 148.74 × 102.72
  4. Step 4: Simplify right side
    107.58x = 15,277.91
  5. Step 5: Solve for x
    x = 15,277.91/107.58
  6. Step 6: Final answer
    x = 142.02

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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.