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Finding the Fourth Proportional to 152.49, 210.48 and 93.47

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Solution

The fourth proportional to 152.49, 210.48 and 93.47 is: 129.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.49 : 210.48 = 93.47 : x
  2. Step 2: Convert to fraction form
    152.49/210.48 = 93.47/x
  3. Step 3: Cross multiply
    152.49x = 210.48 × 93.47
  4. Step 4: Simplify right side
    152.49x = 19,673.57
  5. Step 5: Solve for x
    x = 19,673.57/152.49
  6. Step 6: Final answer
    x = 129.02

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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.