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Finding the Fourth Proportional to 65.03, 89.71 and 37.40

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Solution

The fourth proportional to 65.03, 89.71 and 37.40 is: 51.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.03 : 89.71 = 37.40 : x
  2. Step 2: Convert to fraction form
    65.03/89.71 = 37.40/x
  3. Step 3: Cross multiply
    65.03x = 89.71 × 37.40
  4. Step 4: Simplify right side
    65.03x = 3,354.61
  5. Step 5: Solve for x
    x = 3,354.61/65.03
  6. Step 6: Final answer
    x = 51.59

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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.