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Finding the Fourth Proportional to 107.01, 160.38 and 89.06

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Solution

The fourth proportional to 107.01, 160.38 and 89.06 is: 133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.01 : 160.38 = 89.06 : x
  2. Step 2: Convert to fraction form
    107.01/160.38 = 89.06/x
  3. Step 3: Cross multiply
    107.01x = 160.38 × 89.06
  4. Step 4: Simplify right side
    107.01x = 14,282.64
  5. Step 5: Solve for x
    x = 14,282.64/107.01
  6. Step 6: Final answer
    x = 133.47

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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.