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Finding the Fourth Proportional to 145.86, 200.52 and 113.10

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Solution

The fourth proportional to 145.86, 200.52 and 113.10 is: 155.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.86 : 200.52 = 113.10 : x
  2. Step 2: Convert to fraction form
    145.86/200.52 = 113.10/x
  3. Step 3: Cross multiply
    145.86x = 200.52 × 113.10
  4. Step 4: Simplify right side
    145.86x = 22,678.81
  5. Step 5: Solve for x
    x = 22,678.81/145.86
  6. Step 6: Final answer
    x = 155.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.