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Finding the Fourth Proportional to 29.10, 40.07 and 23.66

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Solution

The fourth proportional to 29.10, 40.07 and 23.66 is: 32.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.10 : 40.07 = 23.66 : x
  2. Step 2: Convert to fraction form
    29.10/40.07 = 23.66/x
  3. Step 3: Cross multiply
    29.10x = 40.07 × 23.66
  4. Step 4: Simplify right side
    29.10x = 947.74
  5. Step 5: Solve for x
    x = 947.74/29.10
  6. Step 6: Final answer
    x = 32.57

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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.