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Finding the Fourth Proportional to 64.72, 89.08 and 53.68

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Solution

The fourth proportional to 64.72, 89.08 and 53.68 is: 73.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.72 : 89.08 = 53.68 : x
  2. Step 2: Convert to fraction form
    64.72/89.08 = 53.68/x
  3. Step 3: Cross multiply
    64.72x = 89.08 × 53.68
  4. Step 4: Simplify right side
    64.72x = 4,781.81
  5. Step 5: Solve for x
    x = 4,781.81/64.72
  6. Step 6: Final answer
    x = 73.88

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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.