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Finding the Fourth Proportional to 47.78, 65.88 and 46.77

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Solution

The fourth proportional to 47.78, 65.88 and 46.77 is: 64.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.78 : 65.88 = 46.77 : x
  2. Step 2: Convert to fraction form
    47.78/65.88 = 46.77/x
  3. Step 3: Cross multiply
    47.78x = 65.88 × 46.77
  4. Step 4: Simplify right side
    47.78x = 3,081.21
  5. Step 5: Solve for x
    x = 3,081.21/47.78
  6. Step 6: Final answer
    x = 64.49

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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.