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Finding the Fourth Proportional to 145.40, 200.46 and 112.52

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Solution

The fourth proportional to 145.40, 200.46 and 112.52 is: 155.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.40 : 200.46 = 112.52 : x
  2. Step 2: Convert to fraction form
    145.40/200.46 = 112.52/x
  3. Step 3: Cross multiply
    145.40x = 200.46 × 112.52
  4. Step 4: Simplify right side
    145.40x = 22,555.76
  5. Step 5: Solve for x
    x = 22,555.76/145.40
  6. Step 6: Final answer
    x = 155.13

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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.