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Finding the Fourth Proportional to 46.42, 64.02 and 32.60

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Solution

The fourth proportional to 46.42, 64.02 and 32.60 is: 44.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.42 : 64.02 = 32.60 : x
  2. Step 2: Convert to fraction form
    46.42/64.02 = 32.60/x
  3. Step 3: Cross multiply
    46.42x = 64.02 × 32.60
  4. Step 4: Simplify right side
    46.42x = 2,087.05
  5. Step 5: Solve for x
    x = 2,087.05/46.42
  6. Step 6: Final answer
    x = 44.96

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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.