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Finding the Fourth Proportional to 64.76, 89.28 and 52.97

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Solution

The fourth proportional to 64.76, 89.28 and 52.97 is: 73.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.76 : 89.28 = 52.97 : x
  2. Step 2: Convert to fraction form
    64.76/89.28 = 52.97/x
  3. Step 3: Cross multiply
    64.76x = 89.28 × 52.97
  4. Step 4: Simplify right side
    64.76x = 4,728.72
  5. Step 5: Solve for x
    x = 4,728.72/64.76
  6. Step 6: Final answer
    x = 73.02

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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.