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Finding the Fourth Proportional to 109.13, 164.30 and 96.36

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Solution

The fourth proportional to 109.13, 164.30 and 96.36 is: 145.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.13 : 164.30 = 96.36 : x
  2. Step 2: Convert to fraction form
    109.13/164.30 = 96.36/x
  3. Step 3: Cross multiply
    109.13x = 164.30 × 96.36
  4. Step 4: Simplify right side
    109.13x = 15,831.47
  5. Step 5: Solve for x
    x = 15,831.47/109.13
  6. Step 6: Final answer
    x = 145.08

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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.