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Finding the Fourth Proportional to 65.40, 97.89 and 47.28

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Solution

The fourth proportional to 65.40, 97.89 and 47.28 is: 70.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.40 : 97.89 = 47.28 : x
  2. Step 2: Convert to fraction form
    65.40/97.89 = 47.28/x
  3. Step 3: Cross multiply
    65.40x = 97.89 × 47.28
  4. Step 4: Simplify right side
    65.40x = 4,628.24
  5. Step 5: Solve for x
    x = 4,628.24/65.40
  6. Step 6: Final answer
    x = 70.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.