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Finding the Fourth Proportional to 96.30, 146.70 and 96.30

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Solution

The fourth proportional to 96.30, 146.70 and 96.30 is: 146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.30 : 146.70 = 96.30 : x
  2. Step 2: Convert to fraction form
    96.30/146.70 = 96.30/x
  3. Step 3: Cross multiply
    96.30x = 146.70 × 96.30
  4. Step 4: Simplify right side
    96.30x = 14,127.21
  5. Step 5: Solve for x
    x = 14,127.21/96.30
  6. Step 6: Final answer
    x = 146.70

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.