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Finding the Fourth Proportional to 152.42, 210.16 and 105.77

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Solution

The fourth proportional to 152.42, 210.16 and 105.77 is: 145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.42 : 210.16 = 105.77 : x
  2. Step 2: Convert to fraction form
    152.42/210.16 = 105.77/x
  3. Step 3: Cross multiply
    152.42x = 210.16 × 105.77
  4. Step 4: Simplify right side
    152.42x = 22,229.28
  5. Step 5: Solve for x
    x = 22,229.28/152.42
  6. Step 6: Final answer
    x = 145.85

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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.