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Finding the Fourth Proportional to 107.16, 160.88 and 70.60

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Solution

The fourth proportional to 107.16, 160.88 and 70.60 is: 105.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.16 : 160.88 = 70.60 : x
  2. Step 2: Convert to fraction form
    107.16/160.88 = 70.60/x
  3. Step 3: Cross multiply
    107.16x = 160.88 × 70.60
  4. Step 4: Simplify right side
    107.16x = 11,358.13
  5. Step 5: Solve for x
    x = 11,358.13/107.16
  6. Step 6: Final answer
    x = 105.99

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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.