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Finding the Fourth Proportional to 152.10, 210.02 and 96.93

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Solution

The fourth proportional to 152.10, 210.02 and 96.93 is: 133.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.10 : 210.02 = 96.93 : x
  2. Step 2: Convert to fraction form
    152.10/210.02 = 96.93/x
  3. Step 3: Cross multiply
    152.10x = 210.02 × 96.93
  4. Step 4: Simplify right side
    152.10x = 20,357.24
  5. Step 5: Solve for x
    x = 20,357.24/152.10
  6. Step 6: Final answer
    x = 133.85

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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.