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Finding the Fourth Proportional to 105.55, 145.67 and 76.46

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Solution

The fourth proportional to 105.55, 145.67 and 76.46 is: 105.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.55 : 145.67 = 76.46 : x
  2. Step 2: Convert to fraction form
    105.55/145.67 = 76.46/x
  3. Step 3: Cross multiply
    105.55x = 145.67 × 76.46
  4. Step 4: Simplify right side
    105.55x = 11,136.82
  5. Step 5: Solve for x
    x = 11,136.82/105.55
  6. Step 6: Final answer
    x = 105.51

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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.