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Finding the Fourth Proportional to 152.52, 210.40 and 96.53

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Solution

The fourth proportional to 152.52, 210.40 and 96.53 is: 133.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.52 : 210.40 = 96.53 : x
  2. Step 2: Convert to fraction form
    152.52/210.40 = 96.53/x
  3. Step 3: Cross multiply
    152.52x = 210.40 × 96.53
  4. Step 4: Simplify right side
    152.52x = 20,308.62
  5. Step 5: Solve for x
    x = 20,308.62/152.52
  6. Step 6: Final answer
    x = 133.16

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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.