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Finding the Fourth Proportional to 107.19, 160.78 and 52.35

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Solution

The fourth proportional to 107.19, 160.78 and 52.35 is: 78.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.19 : 160.78 = 52.35 : x
  2. Step 2: Convert to fraction form
    107.19/160.78 = 52.35/x
  3. Step 3: Cross multiply
    107.19x = 160.78 × 52.35
  4. Step 4: Simplify right side
    107.19x = 8,416.83
  5. Step 5: Solve for x
    x = 8,416.83/107.19
  6. Step 6: Final answer
    x = 78.52

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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.