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Finding the Fourth Proportional to 64.86, 89.47 and 49.29

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Solution

The fourth proportional to 64.86, 89.47 and 49.29 is: 67.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.86 : 89.47 = 49.29 : x
  2. Step 2: Convert to fraction form
    64.86/89.47 = 49.29/x
  3. Step 3: Cross multiply
    64.86x = 89.47 × 49.29
  4. Step 4: Simplify right side
    64.86x = 4,410.05
  5. Step 5: Solve for x
    x = 4,410.05/64.86
  6. Step 6: Final answer
    x = 67.99

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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.