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Finding the Fourth Proportional to 15.60, 23.42 and 7.60

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Solution

The fourth proportional to 15.60, 23.42 and 7.60 is: 11.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.60 : 23.42 = 7.60 : x
  2. Step 2: Convert to fraction form
    15.60/23.42 = 7.60/x
  3. Step 3: Cross multiply
    15.60x = 23.42 × 7.60
  4. Step 4: Simplify right side
    15.60x = 177.99
  5. Step 5: Solve for x
    x = 177.99/15.60
  6. Step 6: Final answer
    x = 11.41

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