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Finding the Fourth Proportional to 46.55, 64.07 and 34.24

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Solution

The fourth proportional to 46.55, 64.07 and 34.24 is: 47.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.55 : 64.07 = 34.24 : x
  2. Step 2: Convert to fraction form
    46.55/64.07 = 34.24/x
  3. Step 3: Cross multiply
    46.55x = 64.07 × 34.24
  4. Step 4: Simplify right side
    46.55x = 2,193.76
  5. Step 5: Solve for x
    x = 2,193.76/46.55
  6. Step 6: Final answer
    x = 47.13

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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.