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Finding the Fourth Proportional to 65.34, 89.97 and 51.48

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Solution

The fourth proportional to 65.34, 89.97 and 51.48 is: 70.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.34 : 89.97 = 51.48 : x
  2. Step 2: Convert to fraction form
    65.34/89.97 = 51.48/x
  3. Step 3: Cross multiply
    65.34x = 89.97 × 51.48
  4. Step 4: Simplify right side
    65.34x = 4,631.66
  5. Step 5: Solve for x
    x = 4,631.66/65.34
  6. Step 6: Final answer
    x = 70.89

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