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Finding the Fourth Proportional to 72.96, 109.86 and 64.05

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Solution

The fourth proportional to 72.96, 109.86 and 64.05 is: 96.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.96 : 109.86 = 64.05 : x
  2. Step 2: Convert to fraction form
    72.96/109.86 = 64.05/x
  3. Step 3: Cross multiply
    72.96x = 109.86 × 64.05
  4. Step 4: Simplify right side
    72.96x = 7,036.53
  5. Step 5: Solve for x
    x = 7,036.53/72.96
  6. Step 6: Final answer
    x = 96.44

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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.