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Finding the Fourth Proportional to 72.52, 100.04 and 46.64

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Solution

The fourth proportional to 72.52, 100.04 and 46.64 is: 64.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.52 : 100.04 = 46.64 : x
  2. Step 2: Convert to fraction form
    72.52/100.04 = 46.64/x
  3. Step 3: Cross multiply
    72.52x = 100.04 × 46.64
  4. Step 4: Simplify right side
    72.52x = 4,665.87
  5. Step 5: Solve for x
    x = 4,665.87/72.52
  6. Step 6: Final answer
    x = 64.34

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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.