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Finding the Fourth Proportional to 145.70, 200.99 and 93.23

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Solution

The fourth proportional to 145.70, 200.99 and 93.23 is: 128.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.70 : 200.99 = 93.23 : x
  2. Step 2: Convert to fraction form
    145.70/200.99 = 93.23/x
  3. Step 3: Cross multiply
    145.70x = 200.99 × 93.23
  4. Step 4: Simplify right side
    145.70x = 18,739.03
  5. Step 5: Solve for x
    x = 18,739.03/145.70
  6. Step 6: Final answer
    x = 128.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.