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Finding the Fourth Proportional to 152.71, 210.77 and 97.51

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Solution

The fourth proportional to 152.71, 210.77 and 97.51 is: 134.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.71 : 210.77 = 97.51 : x
  2. Step 2: Convert to fraction form
    152.71/210.77 = 97.51/x
  3. Step 3: Cross multiply
    152.71x = 210.77 × 97.51
  4. Step 4: Simplify right side
    152.71x = 20,552.18
  5. Step 5: Solve for x
    x = 20,552.18/152.71
  6. Step 6: Final answer
    x = 134.58

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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.