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Finding the Fourth Proportional to 106.56, 160.50 and 89.82

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Solution

The fourth proportional to 106.56, 160.50 and 89.82 is: 135.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.56 : 160.50 = 89.82 : x
  2. Step 2: Convert to fraction form
    106.56/160.50 = 89.82/x
  3. Step 3: Cross multiply
    106.56x = 160.50 × 89.82
  4. Step 4: Simplify right side
    106.56x = 14,416.11
  5. Step 5: Solve for x
    x = 14,416.11/106.56
  6. Step 6: Final answer
    x = 135.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.