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Finding the Fourth Proportional to 76.61, 105.73 and 41.64

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Solution

The fourth proportional to 76.61, 105.73 and 41.64 is: 57.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.61 : 105.73 = 41.64 : x
  2. Step 2: Convert to fraction form
    76.61/105.73 = 41.64/x
  3. Step 3: Cross multiply
    76.61x = 105.73 × 41.64
  4. Step 4: Simplify right side
    76.61x = 4,402.96
  5. Step 5: Solve for x
    x = 4,402.96/76.61
  6. Step 6: Final answer
    x = 57.47

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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.