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Finding the Fourth Proportional to 127.12, 190.58 and 75.64

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Solution

The fourth proportional to 127.12, 190.58 and 75.64 is: 113.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.12 : 190.58 = 75.64 : x
  2. Step 2: Convert to fraction form
    127.12/190.58 = 75.64/x
  3. Step 3: Cross multiply
    127.12x = 190.58 × 75.64
  4. Step 4: Simplify right side
    127.12x = 14,415.47
  5. Step 5: Solve for x
    x = 14,415.47/127.12
  6. Step 6: Final answer
    x = 113.40

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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.