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Finding the Fourth Proportional to 53.04, 72.96 and 47.52

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Solution

The fourth proportional to 53.04, 72.96 and 47.52 is: 65.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.04 : 72.96 = 47.52 : x
  2. Step 2: Convert to fraction form
    53.04/72.96 = 47.52/x
  3. Step 3: Cross multiply
    53.04x = 72.96 × 47.52
  4. Step 4: Simplify right side
    53.04x = 3,467.06
  5. Step 5: Solve for x
    x = 3,467.06/53.04
  6. Step 6: Final answer
    x = 65.37

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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.