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Finding the Fourth Proportional to 65.10, 97.71 and 30.88

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Solution

The fourth proportional to 65.10, 97.71 and 30.88 is: 46.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.10 : 97.71 = 30.88 : x
  2. Step 2: Convert to fraction form
    65.10/97.71 = 30.88/x
  3. Step 3: Cross multiply
    65.10x = 97.71 × 30.88
  4. Step 4: Simplify right side
    65.10x = 3,017.28
  5. Step 5: Solve for x
    x = 3,017.28/65.10
  6. Step 6: Final answer
    x = 46.35

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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.