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Finding the Fourth Proportional to 117.35, 176.70 and 96.98

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Solution

The fourth proportional to 117.35, 176.70 and 96.98 is: 146.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.35 : 176.70 = 96.98 : x
  2. Step 2: Convert to fraction form
    117.35/176.70 = 96.98/x
  3. Step 3: Cross multiply
    117.35x = 176.70 × 96.98
  4. Step 4: Simplify right side
    117.35x = 17,135.55
  5. Step 5: Solve for x
    x = 17,135.55/117.35
  6. Step 6: Final answer
    x = 146.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.