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Finding the Fourth Proportional to 46.41, 64.00 and 30.01

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Solution

The fourth proportional to 46.41, 64.00 and 30.01 is: 41.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.41 : 64.00 = 30.01 : x
  2. Step 2: Convert to fraction form
    46.41/64.00 = 30.01/x
  3. Step 3: Cross multiply
    46.41x = 64.00 × 30.01
  4. Step 4: Simplify right side
    46.41x = 1,920.40
  5. Step 5: Solve for x
    x = 1,920.40/46.41
  6. Step 6: Final answer
    x = 41.38

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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.