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Finding the Fourth Proportional to 72.22, 108.85 and 70.60

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Solution

The fourth proportional to 72.22, 108.85 and 70.60 is: 106.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.22 : 108.85 = 70.60 : x
  2. Step 2: Convert to fraction form
    72.22/108.85 = 70.60/x
  3. Step 3: Cross multiply
    72.22x = 108.85 × 70.60
  4. Step 4: Simplify right side
    72.22x = 7,684.81
  5. Step 5: Solve for x
    x = 7,684.81/72.22
  6. Step 6: Final answer
    x = 106.41

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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.