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Finding the Fourth Proportional to 65.36, 98.54 and 61.10

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Solution

The fourth proportional to 65.36, 98.54 and 61.10 is: 92.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.36 : 98.54 = 61.10 : x
  2. Step 2: Convert to fraction form
    65.36/98.54 = 61.10/x
  3. Step 3: Cross multiply
    65.36x = 98.54 × 61.10
  4. Step 4: Simplify right side
    65.36x = 6,020.00
  5. Step 5: Solve for x
    x = 6,020.00/65.36
  6. Step 6: Final answer
    x = 92.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.