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Finding the Fourth Proportional to 64.71, 89.34 and 47.31

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Solution

The fourth proportional to 64.71, 89.34 and 47.31 is: 65.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.71 : 89.34 = 47.31 : x
  2. Step 2: Convert to fraction form
    64.71/89.34 = 47.31/x
  3. Step 3: Cross multiply
    64.71x = 89.34 × 47.31
  4. Step 4: Simplify right side
    64.71x = 4,226.68
  5. Step 5: Solve for x
    x = 4,226.68/64.71
  6. Step 6: Final answer
    x = 65.32

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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.