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Finding the Fourth Proportional to 71.63, 106.83 and 64.71

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Solution

The fourth proportional to 71.63, 106.83 and 64.71 is: 96.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.63 : 106.83 = 64.71 : x
  2. Step 2: Convert to fraction form
    71.63/106.83 = 64.71/x
  3. Step 3: Cross multiply
    71.63x = 106.83 × 64.71
  4. Step 4: Simplify right side
    71.63x = 6,913.45
  5. Step 5: Solve for x
    x = 6,913.45/71.63
  6. Step 6: Final answer
    x = 96.51

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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.