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Finding the Fourth Proportional to 46.96, 64.64 and 40.03

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Solution

The fourth proportional to 46.96, 64.64 and 40.03 is: 55.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.96 : 64.64 = 40.03 : x
  2. Step 2: Convert to fraction form
    46.96/64.64 = 40.03/x
  3. Step 3: Cross multiply
    46.96x = 64.64 × 40.03
  4. Step 4: Simplify right side
    46.96x = 2,587.34
  5. Step 5: Solve for x
    x = 2,587.34/46.96
  6. Step 6: Final answer
    x = 55.10

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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.