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Finding the Fourth Proportional to 109.51, 163.20 and 106.05

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Solution

The fourth proportional to 109.51, 163.20 and 106.05 is: 158.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.51 : 163.20 = 106.05 : x
  2. Step 2: Convert to fraction form
    109.51/163.20 = 106.05/x
  3. Step 3: Cross multiply
    109.51x = 163.20 × 106.05
  4. Step 4: Simplify right side
    109.51x = 17,307.36
  5. Step 5: Solve for x
    x = 17,307.36/109.51
  6. Step 6: Final answer
    x = 158.05

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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.