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Finding the Fourth Proportional to 65.05, 97.58 and 28.98

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Solution

The fourth proportional to 65.05, 97.58 and 28.98 is: 43.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.05 : 97.58 = 28.98 : x
  2. Step 2: Convert to fraction form
    65.05/97.58 = 28.98/x
  3. Step 3: Cross multiply
    65.05x = 97.58 × 28.98
  4. Step 4: Simplify right side
    65.05x = 2,827.94
  5. Step 5: Solve for x
    x = 2,827.94/65.05
  6. Step 6: Final answer
    x = 43.48

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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.