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Finding the Fourth Proportional to 152.38, 210.18 and 105.76

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Solution

The fourth proportional to 152.38, 210.18 and 105.76 is: 145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.38 : 210.18 = 105.76 : x
  2. Step 2: Convert to fraction form
    152.38/210.18 = 105.76/x
  3. Step 3: Cross multiply
    152.38x = 210.18 × 105.76
  4. Step 4: Simplify right side
    152.38x = 22,228.64
  5. Step 5: Solve for x
    x = 22,228.64/152.38
  6. Step 6: Final answer
    x = 145.88

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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.