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Finding the Fourth Proportional to 145.45, 200.91 and 114.40

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Solution

The fourth proportional to 145.45, 200.91 and 114.40 is: 158.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.45 : 200.91 = 114.40 : x
  2. Step 2: Convert to fraction form
    145.45/200.91 = 114.40/x
  3. Step 3: Cross multiply
    145.45x = 200.91 × 114.40
  4. Step 4: Simplify right side
    145.45x = 22,984.10
  5. Step 5: Solve for x
    x = 22,984.10/145.45
  6. Step 6: Final answer
    x = 158.02

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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.