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Finding the Fourth Proportional to 107.26, 148.16 and 96.32

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Solution

The fourth proportional to 107.26, 148.16 and 96.32 is: 133.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.26 : 148.16 = 96.32 : x
  2. Step 2: Convert to fraction form
    107.26/148.16 = 96.32/x
  3. Step 3: Cross multiply
    107.26x = 148.16 × 96.32
  4. Step 4: Simplify right side
    107.26x = 14,270.29
  5. Step 5: Solve for x
    x = 14,270.29/107.26
  6. Step 6: Final answer
    x = 133.05

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Why These Related Problems?

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