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Finding the Fourth Proportional to 152.68, 210.76 and 106.06

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Solution

The fourth proportional to 152.68, 210.76 and 106.06 is: 146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.68 : 210.76 = 106.06 : x
  2. Step 2: Convert to fraction form
    152.68/210.76 = 106.06/x
  3. Step 3: Cross multiply
    152.68x = 210.76 × 106.06
  4. Step 4: Simplify right side
    152.68x = 22,353.21
  5. Step 5: Solve for x
    x = 22,353.21/152.68
  6. Step 6: Final answer
    x = 146.41

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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.