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Finding the Fourth Proportional to 152.53, 210.33 and 105.95

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Solution

The fourth proportional to 152.53, 210.33 and 105.95 is: 146.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.53 : 210.33 = 105.95 : x
  2. Step 2: Convert to fraction form
    152.53/210.33 = 105.95/x
  3. Step 3: Cross multiply
    152.53x = 210.33 × 105.95
  4. Step 4: Simplify right side
    152.53x = 22,284.99
  5. Step 5: Solve for x
    x = 22,284.99/152.53
  6. Step 6: Final answer
    x = 146.10

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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.