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Finding the Fourth Proportional to 107.58, 148.41 and 70.24

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Solution

The fourth proportional to 107.58, 148.41 and 70.24 is: 96.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.58 : 148.41 = 70.24 : x
  2. Step 2: Convert to fraction form
    107.58/148.41 = 70.24/x
  3. Step 3: Cross multiply
    107.58x = 148.41 × 70.24
  4. Step 4: Simplify right side
    107.58x = 10,424.45
  5. Step 5: Solve for x
    x = 10,424.45/107.58
  6. Step 6: Final answer
    x = 96.90

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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.