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Finding the Fourth Proportional to 64.23, 88.52 and 52.61

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Solution

The fourth proportional to 64.23, 88.52 and 52.61 is: 72.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.23 : 88.52 = 52.61 : x
  2. Step 2: Convert to fraction form
    64.23/88.52 = 52.61/x
  3. Step 3: Cross multiply
    64.23x = 88.52 × 52.61
  4. Step 4: Simplify right side
    64.23x = 4,656.33
  5. Step 5: Solve for x
    x = 4,656.33/64.23
  6. Step 6: Final answer
    x = 72.49

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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.