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Finding the Fourth Proportional to 152.65, 210.28 and 105.94

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Solution

The fourth proportional to 152.65, 210.28 and 105.94 is: 145.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.65 : 210.28 = 105.94 : x
  2. Step 2: Convert to fraction form
    152.65/210.28 = 105.94/x
  3. Step 3: Cross multiply
    152.65x = 210.28 × 105.94
  4. Step 4: Simplify right side
    152.65x = 22,277.06
  5. Step 5: Solve for x
    x = 22,277.06/152.65
  6. Step 6: Final answer
    x = 145.94

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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.