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Finding the Fourth Proportional to 145.34, 200.69 and 106.22

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Solution

The fourth proportional to 145.34, 200.69 and 106.22 is: 146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.34 : 200.69 = 106.22 : x
  2. Step 2: Convert to fraction form
    145.34/200.69 = 106.22/x
  3. Step 3: Cross multiply
    145.34x = 200.69 × 106.22
  4. Step 4: Simplify right side
    145.34x = 21,315.76
  5. Step 5: Solve for x
    x = 21,315.76/145.34
  6. Step 6: Final answer
    x = 146.67

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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.