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Finding the Fourth Proportional to 59.89, 89.74 and 29.40

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Solution

The fourth proportional to 59.89, 89.74 and 29.40 is: 44.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.89 : 89.74 = 29.40 : x
  2. Step 2: Convert to fraction form
    59.89/89.74 = 29.40/x
  3. Step 3: Cross multiply
    59.89x = 89.74 × 29.40
  4. Step 4: Simplify right side
    59.89x = 2,638.36
  5. Step 5: Solve for x
    x = 2,638.36/59.89
  6. Step 6: Final answer
    x = 44.05

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Why These Related Problems?

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