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Finding the Fourth Proportional to 145.76, 200.76 and 106.88

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Solution

The fourth proportional to 145.76, 200.76 and 106.88 is: 147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.76 : 200.76 = 106.88 : x
  2. Step 2: Convert to fraction form
    145.76/200.76 = 106.88/x
  3. Step 3: Cross multiply
    145.76x = 200.76 × 106.88
  4. Step 4: Simplify right side
    145.76x = 21,457.23
  5. Step 5: Solve for x
    x = 21,457.23/145.76
  6. Step 6: Final answer
    x = 147.21

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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.