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Finding the Fourth Proportional to 152.15, 210.03 and 117.16

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Solution

The fourth proportional to 152.15, 210.03 and 117.16 is: 161.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.15 : 210.03 = 117.16 : x
  2. Step 2: Convert to fraction form
    152.15/210.03 = 117.16/x
  3. Step 3: Cross multiply
    152.15x = 210.03 × 117.16
  4. Step 4: Simplify right side
    152.15x = 24,606.94
  5. Step 5: Solve for x
    x = 24,606.94/152.15
  6. Step 6: Final answer
    x = 161.73

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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.