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Finding the Fourth Proportional to 127.65, 176.24 and 78.60

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Solution

The fourth proportional to 127.65, 176.24 and 78.60 is: 108.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.65 : 176.24 = 78.60 : x
  2. Step 2: Convert to fraction form
    127.65/176.24 = 78.60/x
  3. Step 3: Cross multiply
    127.65x = 176.24 × 78.60
  4. Step 4: Simplify right side
    127.65x = 13,852.46
  5. Step 5: Solve for x
    x = 13,852.46/127.65
  6. Step 6: Final answer
    x = 108.52

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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.