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Finding the Fourth Proportional to 65.02, 89.74 and 37.40

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Solution

The fourth proportional to 65.02, 89.74 and 37.40 is: 51.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.02 : 89.74 = 37.40 : x
  2. Step 2: Convert to fraction form
    65.02/89.74 = 37.40/x
  3. Step 3: Cross multiply
    65.02x = 89.74 × 37.40
  4. Step 4: Simplify right side
    65.02x = 3,355.87
  5. Step 5: Solve for x
    x = 3,355.87/65.02
  6. Step 6: Final answer
    x = 51.61

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Why These Related Problems?

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