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Finding the Fourth Proportional to 65.16, 97.70 and 45.96

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Solution

The fourth proportional to 65.16, 97.70 and 45.96 is: 68.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.16 : 97.70 = 45.96 : x
  2. Step 2: Convert to fraction form
    65.16/97.70 = 45.96/x
  3. Step 3: Cross multiply
    65.16x = 97.70 × 45.96
  4. Step 4: Simplify right side
    65.16x = 4,490.29
  5. Step 5: Solve for x
    x = 4,490.29/65.16
  6. Step 6: Final answer
    x = 68.91

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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.