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Finding the Fourth Proportional to 127.98, 191.90 and 59.46

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Solution

The fourth proportional to 127.98, 191.90 and 59.46 is: 89.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.98 : 191.90 = 59.46 : x
  2. Step 2: Convert to fraction form
    127.98/191.90 = 59.46/x
  3. Step 3: Cross multiply
    127.98x = 191.90 × 59.46
  4. Step 4: Simplify right side
    127.98x = 11,410.37
  5. Step 5: Solve for x
    x = 11,410.37/127.98
  6. Step 6: Final answer
    x = 89.16

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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.