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Finding the Fourth Proportional to 73.36, 109.62 and 70.48

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Solution

The fourth proportional to 73.36, 109.62 and 70.48 is: 105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.36 : 109.62 = 70.48 : x
  2. Step 2: Convert to fraction form
    73.36/109.62 = 70.48/x
  3. Step 3: Cross multiply
    73.36x = 109.62 × 70.48
  4. Step 4: Simplify right side
    73.36x = 7,726.02
  5. Step 5: Solve for x
    x = 7,726.02/73.36
  6. Step 6: Final answer
    x = 105.32

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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.