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Finding the Fourth Proportional to 65.47, 90.36 and 37.47

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Solution

The fourth proportional to 65.47, 90.36 and 37.47 is: 51.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.47 : 90.36 = 37.47 : x
  2. Step 2: Convert to fraction form
    65.47/90.36 = 37.47/x
  3. Step 3: Cross multiply
    65.47x = 90.36 × 37.47
  4. Step 4: Simplify right side
    65.47x = 3,385.79
  5. Step 5: Solve for x
    x = 3,385.79/65.47
  6. Step 6: Final answer
    x = 51.72

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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.