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Finding the Fourth Proportional to 46.36, 63.47 and 45.12

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Solution

The fourth proportional to 46.36, 63.47 and 45.12 is: 61.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.36 : 63.47 = 45.12 : x
  2. Step 2: Convert to fraction form
    46.36/63.47 = 45.12/x
  3. Step 3: Cross multiply
    46.36x = 63.47 × 45.12
  4. Step 4: Simplify right side
    46.36x = 2,863.77
  5. Step 5: Solve for x
    x = 2,863.77/46.36
  6. Step 6: Final answer
    x = 61.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.