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Finding the Fourth Proportional to 145.16, 200.19 and 106.28

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Solution

The fourth proportional to 145.16, 200.19 and 106.28 is: 146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.16 : 200.19 = 106.28 : x
  2. Step 2: Convert to fraction form
    145.16/200.19 = 106.28/x
  3. Step 3: Cross multiply
    145.16x = 200.19 × 106.28
  4. Step 4: Simplify right side
    145.16x = 21,276.19
  5. Step 5: Solve for x
    x = 21,276.19/145.16
  6. Step 6: Final answer
    x = 146.57

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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.