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Finding the Fourth Proportional to 64.85, 89.39 and 53.17

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Solution

The fourth proportional to 64.85, 89.39 and 53.17 is: 73.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.85 : 89.39 = 53.17 : x
  2. Step 2: Convert to fraction form
    64.85/89.39 = 53.17/x
  3. Step 3: Cross multiply
    64.85x = 89.39 × 53.17
  4. Step 4: Simplify right side
    64.85x = 4,753.11
  5. Step 5: Solve for x
    x = 4,753.11/64.85
  6. Step 6: Final answer
    x = 73.30

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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.