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Finding the Fourth Proportional to 105.27, 145.27 and 58.64

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Solution

The fourth proportional to 105.27, 145.27 and 58.64 is: 80.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.27 : 145.27 = 58.64 : x
  2. Step 2: Convert to fraction form
    105.27/145.27 = 58.64/x
  3. Step 3: Cross multiply
    105.27x = 145.27 × 58.64
  4. Step 4: Simplify right side
    105.27x = 8,518.63
  5. Step 5: Solve for x
    x = 8,518.63/105.27
  6. Step 6: Final answer
    x = 80.92

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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.