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Finding the Fourth Proportional to 46.78, 64.54 and 32.96

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Solution

The fourth proportional to 46.78, 64.54 and 32.96 is: 45.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.78 : 64.54 = 32.96 : x
  2. Step 2: Convert to fraction form
    46.78/64.54 = 32.96/x
  3. Step 3: Cross multiply
    46.78x = 64.54 × 32.96
  4. Step 4: Simplify right side
    46.78x = 2,127.24
  5. Step 5: Solve for x
    x = 2,127.24/46.78
  6. Step 6: Final answer
    x = 45.47

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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.