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Finding the Fourth Proportional to 72.64, 108.41 and 70.72

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Solution

The fourth proportional to 72.64, 108.41 and 70.72 is: 105.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.64 : 108.41 = 70.72 : x
  2. Step 2: Convert to fraction form
    72.64/108.41 = 70.72/x
  3. Step 3: Cross multiply
    72.64x = 108.41 × 70.72
  4. Step 4: Simplify right side
    72.64x = 7,666.76
  5. Step 5: Solve for x
    x = 7,666.76/72.64
  6. Step 6: Final answer
    x = 105.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.