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Finding the Fourth Proportional to 116.02, 174.10 and 77.52

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Solution

The fourth proportional to 116.02, 174.10 and 77.52 is: 116.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.02 : 174.10 = 77.52 : x
  2. Step 2: Convert to fraction form
    116.02/174.10 = 77.52/x
  3. Step 3: Cross multiply
    116.02x = 174.10 × 77.52
  4. Step 4: Simplify right side
    116.02x = 13,496.23
  5. Step 5: Solve for x
    x = 13,496.23/116.02
  6. Step 6: Final answer
    x = 116.33

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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.