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Finding the Fourth Proportional to 71.23, 107.39 and 70.46

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Solution

The fourth proportional to 71.23, 107.39 and 70.46 is: 106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.23 : 107.39 = 70.46 : x
  2. Step 2: Convert to fraction form
    71.23/107.39 = 70.46/x
  3. Step 3: Cross multiply
    71.23x = 107.39 × 70.46
  4. Step 4: Simplify right side
    71.23x = 7,566.70
  5. Step 5: Solve for x
    x = 7,566.70/71.23
  6. Step 6: Final answer
    x = 106.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.