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Finding the Fourth Proportional to 23.02, 31.76 and 18.93

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Solution

The fourth proportional to 23.02, 31.76 and 18.93 is: 26.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.02 : 31.76 = 18.93 : x
  2. Step 2: Convert to fraction form
    23.02/31.76 = 18.93/x
  3. Step 3: Cross multiply
    23.02x = 31.76 × 18.93
  4. Step 4: Simplify right side
    23.02x = 601.12
  5. Step 5: Solve for x
    x = 601.12/23.02
  6. Step 6: Final answer
    x = 26.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.