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Finding the Fourth Proportional to 145.04, 199.86 and 113.98

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Solution

The fourth proportional to 145.04, 199.86 and 113.98 is: 157.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.04 : 199.86 = 113.98 : x
  2. Step 2: Convert to fraction form
    145.04/199.86 = 113.98/x
  3. Step 3: Cross multiply
    145.04x = 199.86 × 113.98
  4. Step 4: Simplify right side
    145.04x = 22,780.04
  5. Step 5: Solve for x
    x = 22,780.04/145.04
  6. Step 6: Final answer
    x = 157.06

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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.