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Finding the Fourth Proportional to 128.93, 178.00 and 84.74

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Solution

The fourth proportional to 128.93, 178.00 and 84.74 is: 116.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.93 : 178.00 = 84.74 : x
  2. Step 2: Convert to fraction form
    128.93/178.00 = 84.74/x
  3. Step 3: Cross multiply
    128.93x = 178.00 × 84.74
  4. Step 4: Simplify right side
    128.93x = 15,082.41
  5. Step 5: Solve for x
    x = 15,082.41/128.93
  6. Step 6: Final answer
    x = 116.98

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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.