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Finding the Fourth Proportional to 152.49, 210.41 and 93.48

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Solution

The fourth proportional to 152.49, 210.41 and 93.48 is: 128.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.49 : 210.41 = 93.48 : x
  2. Step 2: Convert to fraction form
    152.49/210.41 = 93.48/x
  3. Step 3: Cross multiply
    152.49x = 210.41 × 93.48
  4. Step 4: Simplify right side
    152.49x = 19,669.13
  5. Step 5: Solve for x
    x = 19,669.13/152.49
  6. Step 6: Final answer
    x = 128.99

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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.