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Finding the Fourth Proportional to 53.02, 79.24 and 42.22

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Solution

The fourth proportional to 53.02, 79.24 and 42.22 is: 63.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.02 : 79.24 = 42.22 : x
  2. Step 2: Convert to fraction form
    53.02/79.24 = 42.22/x
  3. Step 3: Cross multiply
    53.02x = 79.24 × 42.22
  4. Step 4: Simplify right side
    53.02x = 3,345.30
  5. Step 5: Solve for x
    x = 3,345.30/53.02
  6. Step 6: Final answer
    x = 63.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.