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Finding the Fourth Proportional to 29.06, 40.07 and 17.40

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Solution

The fourth proportional to 29.06, 40.07 and 17.40 is: 24.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.06 : 40.07 = 17.40 : x
  2. Step 2: Convert to fraction form
    29.06/40.07 = 17.40/x
  3. Step 3: Cross multiply
    29.06x = 40.07 × 17.40
  4. Step 4: Simplify right side
    29.06x = 697.22
  5. Step 5: Solve for x
    x = 697.22/29.06
  6. Step 6: Final answer
    x = 24.00

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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.