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Finding the Fourth Proportional to 105.64, 145.77 and 72.83

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Solution

The fourth proportional to 105.64, 145.77 and 72.83 is: 100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.64 : 145.77 = 72.83 : x
  2. Step 2: Convert to fraction form
    105.64/145.77 = 72.83/x
  3. Step 3: Cross multiply
    105.64x = 145.77 × 72.83
  4. Step 4: Simplify right side
    105.64x = 10,616.43
  5. Step 5: Solve for x
    x = 10,616.43/105.64
  6. Step 6: Final answer
    x = 100.50

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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.