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Finding the Fourth Proportional to 105.94, 145.17 and 102.16

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Solution

The fourth proportional to 105.94, 145.17 and 102.16 is: 139.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.94 : 145.17 = 102.16 : x
  2. Step 2: Convert to fraction form
    105.94/145.17 = 102.16/x
  3. Step 3: Cross multiply
    105.94x = 145.17 × 102.16
  4. Step 4: Simplify right side
    105.94x = 14,830.57
  5. Step 5: Solve for x
    x = 14,830.57/105.94
  6. Step 6: Final answer
    x = 139.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.