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Finding the Fourth Proportional to 64.64, 89.12 and 53.54

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Solution

The fourth proportional to 64.64, 89.12 and 53.54 is: 73.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.64 : 89.12 = 53.54 : x
  2. Step 2: Convert to fraction form
    64.64/89.12 = 53.54/x
  3. Step 3: Cross multiply
    64.64x = 89.12 × 53.54
  4. Step 4: Simplify right side
    64.64x = 4,771.38
  5. Step 5: Solve for x
    x = 4,771.38/64.64
  6. Step 6: Final answer
    x = 73.81

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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.