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Finding the Fourth Proportional to 152.19, 210.07 and 105.72

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Solution

The fourth proportional to 152.19, 210.07 and 105.72 is: 145.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.19 : 210.07 = 105.72 : x
  2. Step 2: Convert to fraction form
    152.19/210.07 = 105.72/x
  3. Step 3: Cross multiply
    152.19x = 210.07 × 105.72
  4. Step 4: Simplify right side
    152.19x = 22,207.94
  5. Step 5: Solve for x
    x = 22,207.94/152.19
  6. Step 6: Final answer
    x = 145.92

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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.