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Finding the Fourth Proportional to 105.47, 145.51 and 84.80

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Solution

The fourth proportional to 105.47, 145.51 and 84.80 is: 116.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.47 : 145.51 = 84.80 : x
  2. Step 2: Convert to fraction form
    105.47/145.51 = 84.80/x
  3. Step 3: Cross multiply
    105.47x = 145.51 × 84.80
  4. Step 4: Simplify right side
    105.47x = 12,339.25
  5. Step 5: Solve for x
    x = 12,339.25/105.47
  6. Step 6: Final answer
    x = 116.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.