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Finding the Fourth Proportional to 107.06, 147.42 and 97.07

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Solution

The fourth proportional to 107.06, 147.42 and 97.07 is: 133.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.06 : 147.42 = 97.07 : x
  2. Step 2: Convert to fraction form
    107.06/147.42 = 97.07/x
  3. Step 3: Cross multiply
    107.06x = 147.42 × 97.07
  4. Step 4: Simplify right side
    107.06x = 14,309.32
  5. Step 5: Solve for x
    x = 14,309.32/107.06
  6. Step 6: Final answer
    x = 133.66

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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.