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Finding the Fourth Proportional to 145.02, 199.84 and 123.15

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Solution

The fourth proportional to 145.02, 199.84 and 123.15 is: 169.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.02 : 199.84 = 123.15 : x
  2. Step 2: Convert to fraction form
    145.02/199.84 = 123.15/x
  3. Step 3: Cross multiply
    145.02x = 199.84 × 123.15
  4. Step 4: Simplify right side
    145.02x = 24,609.99
  5. Step 5: Solve for x
    x = 24,609.99/145.02
  6. Step 6: Final answer
    x = 169.70

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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.