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Finding the Fourth Proportional to 107.06, 160.65 and 65.93

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Solution

The fourth proportional to 107.06, 160.65 and 65.93 is: 98.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.06 : 160.65 = 65.93 : x
  2. Step 2: Convert to fraction form
    107.06/160.65 = 65.93/x
  3. Step 3: Cross multiply
    107.06x = 160.65 × 65.93
  4. Step 4: Simplify right side
    107.06x = 10,590.85
  5. Step 5: Solve for x
    x = 10,590.85/107.06
  6. Step 6: Final answer
    x = 98.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.