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Finding the Fourth Proportional to 53.37, 72.63 and 53.10

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Solution

The fourth proportional to 53.37, 72.63 and 53.10 is: 72.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.37 : 72.63 = 53.10 : x
  2. Step 2: Convert to fraction form
    53.37/72.63 = 53.10/x
  3. Step 3: Cross multiply
    53.37x = 72.63 × 53.10
  4. Step 4: Simplify right side
    53.37x = 3,856.65
  5. Step 5: Solve for x
    x = 3,856.65/53.37
  6. Step 6: Final answer
    x = 72.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.