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Finding the Fourth Proportional to 71.10, 105.91 and 70.77

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Solution

The fourth proportional to 71.10, 105.91 and 70.77 is: 105.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.10 : 105.91 = 70.77 : x
  2. Step 2: Convert to fraction form
    71.10/105.91 = 70.77/x
  3. Step 3: Cross multiply
    71.10x = 105.91 × 70.77
  4. Step 4: Simplify right side
    71.10x = 7,495.25
  5. Step 5: Solve for x
    x = 7,495.25/71.10
  6. Step 6: Final answer
    x = 105.42

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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.