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Finding the Fourth Proportional to 46.50, 64.02 and 35.56

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Solution

The fourth proportional to 46.50, 64.02 and 35.56 is: 48.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.50 : 64.02 = 35.56 : x
  2. Step 2: Convert to fraction form
    46.50/64.02 = 35.56/x
  3. Step 3: Cross multiply
    46.50x = 64.02 × 35.56
  4. Step 4: Simplify right side
    46.50x = 2,276.55
  5. Step 5: Solve for x
    x = 2,276.55/46.50
  6. Step 6: Final answer
    x = 48.96

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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.