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Finding the Fourth Proportional to 46.77, 69.78 and 42.23

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Solution

The fourth proportional to 46.77, 69.78 and 42.23 is: 63.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.77 : 69.78 = 42.23 : x
  2. Step 2: Convert to fraction form
    46.77/69.78 = 42.23/x
  3. Step 3: Cross multiply
    46.77x = 69.78 × 42.23
  4. Step 4: Simplify right side
    46.77x = 2,946.46
  5. Step 5: Solve for x
    x = 2,946.46/46.77
  6. Step 6: Final answer
    x = 63.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.