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Finding the Fourth Proportional to 107.34, 148.14 and 96.36

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Solution

The fourth proportional to 107.34, 148.14 and 96.36 is: 132.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.34 : 148.14 = 96.36 : x
  2. Step 2: Convert to fraction form
    107.34/148.14 = 96.36/x
  3. Step 3: Cross multiply
    107.34x = 148.14 × 96.36
  4. Step 4: Simplify right side
    107.34x = 14,274.77
  5. Step 5: Solve for x
    x = 14,274.77/107.34
  6. Step 6: Final answer
    x = 132.99

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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.