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Finding the Fourth Proportional to 104.69, 156.40 and 74.01

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Solution

The fourth proportional to 104.69, 156.40 and 74.01 is: 110.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.69 : 156.40 = 74.01 : x
  2. Step 2: Convert to fraction form
    104.69/156.40 = 74.01/x
  3. Step 3: Cross multiply
    104.69x = 156.40 × 74.01
  4. Step 4: Simplify right side
    104.69x = 11,575.57
  5. Step 5: Solve for x
    x = 11,575.57/104.69
  6. Step 6: Final answer
    x = 110.57

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