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Finding the Fourth Proportional to 64.59, 89.06 and 47.31

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Solution

The fourth proportional to 64.59, 89.06 and 47.31 is: 65.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.59 : 89.06 = 47.31 : x
  2. Step 2: Convert to fraction form
    64.59/89.06 = 47.31/x
  3. Step 3: Cross multiply
    64.59x = 89.06 × 47.31
  4. Step 4: Simplify right side
    64.59x = 4,213.19
  5. Step 5: Solve for x
    x = 4,213.19/64.59
  6. Step 6: Final answer
    x = 65.23

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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.