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Finding the Fourth Proportional to 107.88, 148.92 and 100.58

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Solution

The fourth proportional to 107.88, 148.92 and 100.58 is: 138.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.88 : 148.92 = 100.58 : x
  2. Step 2: Convert to fraction form
    107.88/148.92 = 100.58/x
  3. Step 3: Cross multiply
    107.88x = 148.92 × 100.58
  4. Step 4: Simplify right side
    107.88x = 14,978.37
  5. Step 5: Solve for x
    x = 14,978.37/107.88
  6. Step 6: Final answer
    x = 138.84

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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.