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Finding the Fourth Proportional to 65.73, 90.65 and 51.89

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Solution

The fourth proportional to 65.73, 90.65 and 51.89 is: 71.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.73 : 90.65 = 51.89 : x
  2. Step 2: Convert to fraction form
    65.73/90.65 = 51.89/x
  3. Step 3: Cross multiply
    65.73x = 90.65 × 51.89
  4. Step 4: Simplify right side
    65.73x = 4,703.50
  5. Step 5: Solve for x
    x = 4,703.50/65.73
  6. Step 6: Final answer
    x = 71.56

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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.