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Finding the Fourth Proportional to 65.45, 90.40 and 51.78

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Solution

The fourth proportional to 65.45, 90.40 and 51.78 is: 71.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.45 : 90.40 = 51.78 : x
  2. Step 2: Convert to fraction form
    65.45/90.40 = 51.78/x
  3. Step 3: Cross multiply
    65.45x = 90.40 × 51.78
  4. Step 4: Simplify right side
    65.45x = 4,680.91
  5. Step 5: Solve for x
    x = 4,680.91/65.45
  6. Step 6: Final answer
    x = 71.52

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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.