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Finding the Fourth Proportional to 46.89, 64.68 and 29.16

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Solution

The fourth proportional to 46.89, 64.68 and 29.16 is: 40.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.89 : 64.68 = 29.16 : x
  2. Step 2: Convert to fraction form
    46.89/64.68 = 29.16/x
  3. Step 3: Cross multiply
    46.89x = 64.68 × 29.16
  4. Step 4: Simplify right side
    46.89x = 1,886.07
  5. Step 5: Solve for x
    x = 1,886.07/46.89
  6. Step 6: Final answer
    x = 40.22

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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.