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Finding the Fourth Proportional to 46.42, 64.01 and 30.89

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Solution

The fourth proportional to 46.42, 64.01 and 30.89 is: 42.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.42 : 64.01 = 30.89 : x
  2. Step 2: Convert to fraction form
    46.42/64.01 = 30.89/x
  3. Step 3: Cross multiply
    46.42x = 64.01 × 30.89
  4. Step 4: Simplify right side
    46.42x = 1,977.27
  5. Step 5: Solve for x
    x = 1,977.27/46.42
  6. Step 6: Final answer
    x = 42.60

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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.