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Finding the Fourth Proportional to 107.53, 160.56 and 88.21

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Solution

The fourth proportional to 107.53, 160.56 and 88.21 is: 131.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.53 : 160.56 = 88.21 : x
  2. Step 2: Convert to fraction form
    107.53/160.56 = 88.21/x
  3. Step 3: Cross multiply
    107.53x = 160.56 × 88.21
  4. Step 4: Simplify right side
    107.53x = 14,163.00
  5. Step 5: Solve for x
    x = 14,163.00/107.53
  6. Step 6: Final answer
    x = 131.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.