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Finding the Fourth Proportional to 77.55, 107.01 and 46.47

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Solution

The fourth proportional to 77.55, 107.01 and 46.47 is: 64.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.55 : 107.01 = 46.47 : x
  2. Step 2: Convert to fraction form
    77.55/107.01 = 46.47/x
  3. Step 3: Cross multiply
    77.55x = 107.01 × 46.47
  4. Step 4: Simplify right side
    77.55x = 4,972.75
  5. Step 5: Solve for x
    x = 4,972.75/77.55
  6. Step 6: Final answer
    x = 64.12

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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.