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Finding the Fourth Proportional to 105.79, 145.74 and 76.63

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Solution

The fourth proportional to 105.79, 145.74 and 76.63 is: 105.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.79 : 145.74 = 76.63 : x
  2. Step 2: Convert to fraction form
    105.79/145.74 = 76.63/x
  3. Step 3: Cross multiply
    105.79x = 145.74 × 76.63
  4. Step 4: Simplify right side
    105.79x = 11,168.06
  5. Step 5: Solve for x
    x = 11,168.06/105.79
  6. Step 6: Final answer
    x = 105.57

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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.