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Finding the Fourth Proportional to 79.22, 109.40 and 53

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Solution

The fourth proportional to 79.22, 109.40 and 53 is: 73.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.22 : 109.40 = 53 : x
  2. Step 2: Convert to fraction form
    79.22/109.40 = 53/x
  3. Step 3: Cross multiply
    79.22x = 109.40 × 53
  4. Step 4: Simplify right side
    79.22x = 5,798.20
  5. Step 5: Solve for x
    x = 5,798.20/79.22
  6. Step 6: Final answer
    x = 73.19

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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.