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Finding the Fourth Proportional to 130.40, 178.36 and 128.48

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Solution

The fourth proportional to 130.40, 178.36 and 128.48 is: 175.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.40 : 178.36 = 128.48 : x
  2. Step 2: Convert to fraction form
    130.40/178.36 = 128.48/x
  3. Step 3: Cross multiply
    130.40x = 178.36 × 128.48
  4. Step 4: Simplify right side
    130.40x = 22,915.69
  5. Step 5: Solve for x
    x = 22,915.69/130.40
  6. Step 6: Final answer
    x = 175.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.