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Finding the Fourth Proportional to 152.84, 210.84 and 106.04

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Solution

The fourth proportional to 152.84, 210.84 and 106.04 is: 146.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.84 : 210.84 = 106.04 : x
  2. Step 2: Convert to fraction form
    152.84/210.84 = 106.04/x
  3. Step 3: Cross multiply
    152.84x = 210.84 × 106.04
  4. Step 4: Simplify right side
    152.84x = 22,357.47
  5. Step 5: Solve for x
    x = 22,357.47/152.84
  6. Step 6: Final answer
    x = 146.28

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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.