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Finding the Fourth Proportional to 71.49, 106.62 and 70.28

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Solution

The fourth proportional to 71.49, 106.62 and 70.28 is: 104.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.49 : 106.62 = 70.28 : x
  2. Step 2: Convert to fraction form
    71.49/106.62 = 70.28/x
  3. Step 3: Cross multiply
    71.49x = 106.62 × 70.28
  4. Step 4: Simplify right side
    71.49x = 7,492.72
  5. Step 5: Solve for x
    x = 7,492.72/71.49
  6. Step 6: Final answer
    x = 104.81

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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.