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Finding the Fourth Proportional to 107.42, 160.35 and 93.07

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Solution

The fourth proportional to 107.42, 160.35 and 93.07 is: 138.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.42 : 160.35 = 93.07 : x
  2. Step 2: Convert to fraction form
    107.42/160.35 = 93.07/x
  3. Step 3: Cross multiply
    107.42x = 160.35 × 93.07
  4. Step 4: Simplify right side
    107.42x = 14,923.37
  5. Step 5: Solve for x
    x = 14,923.37/107.42
  6. Step 6: Final answer
    x = 138.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.