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Finding the Fourth Proportional to 90.98, 125.61 and 65.06

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Solution

The fourth proportional to 90.98, 125.61 and 65.06 is: 89.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.98 : 125.61 = 65.06 : x
  2. Step 2: Convert to fraction form
    90.98/125.61 = 65.06/x
  3. Step 3: Cross multiply
    90.98x = 125.61 × 65.06
  4. Step 4: Simplify right side
    90.98x = 8,172.19
  5. Step 5: Solve for x
    x = 8,172.19/90.98
  6. Step 6: Final answer
    x = 89.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.