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Finding the Fourth Proportional to 107, 160.54 and 52.86

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Solution

The fourth proportional to 107, 160.54 and 52.86 is: 79.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107 : 160.54 = 52.86 : x
  2. Step 2: Convert to fraction form
    107/160.54 = 52.86/x
  3. Step 3: Cross multiply
    107x = 160.54 × 52.86
  4. Step 4: Simplify right side
    107x = 8,486.14
  5. Step 5: Solve for x
    x = 8,486.14/107
  6. Step 6: Final answer
    x = 79.31

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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.