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Finding the Fourth Proportional to 64.50, 89.01 and 54.63

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Solution

The fourth proportional to 64.50, 89.01 and 54.63 is: 75.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.50 : 89.01 = 54.63 : x
  2. Step 2: Convert to fraction form
    64.50/89.01 = 54.63/x
  3. Step 3: Cross multiply
    64.50x = 89.01 × 54.63
  4. Step 4: Simplify right side
    64.50x = 4,862.62
  5. Step 5: Solve for x
    x = 4,862.62/64.50
  6. Step 6: Final answer
    x = 75.39

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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.