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Finding the Fourth Proportional to 46.86, 64.70 and 29.39

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Solution

The fourth proportional to 46.86, 64.70 and 29.39 is: 40.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.86 : 64.70 = 29.39 : x
  2. Step 2: Convert to fraction form
    46.86/64.70 = 29.39/x
  3. Step 3: Cross multiply
    46.86x = 64.70 × 29.39
  4. Step 4: Simplify right side
    46.86x = 1,901.06
  5. Step 5: Solve for x
    x = 1,901.06/46.86
  6. Step 6: Final answer
    x = 40.57

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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.