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Finding the Fourth Proportional to 105.63, 145.50 and 99.75

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Solution

The fourth proportional to 105.63, 145.50 and 99.75 is: 137.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.63 : 145.50 = 99.75 : x
  2. Step 2: Convert to fraction form
    105.63/145.50 = 99.75/x
  3. Step 3: Cross multiply
    105.63x = 145.50 × 99.75
  4. Step 4: Simplify right side
    105.63x = 14,513.63
  5. Step 5: Solve for x
    x = 14,513.63/105.63
  6. Step 6: Final answer
    x = 137.40

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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.