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Finding the Fourth Proportional to 53.07, 79.61 and 22.64

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Solution

The fourth proportional to 53.07, 79.61 and 22.64 is: 33.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.07 : 79.61 = 22.64 : x
  2. Step 2: Convert to fraction form
    53.07/79.61 = 22.64/x
  3. Step 3: Cross multiply
    53.07x = 79.61 × 22.64
  4. Step 4: Simplify right side
    53.07x = 1,802.37
  5. Step 5: Solve for x
    x = 1,802.37/53.07
  6. Step 6: Final answer
    x = 33.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.