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Finding the Fourth Proportional to 152.07, 209.72 and 99.60

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Solution

The fourth proportional to 152.07, 209.72 and 99.60 is: 137.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.07 : 209.72 = 99.60 : x
  2. Step 2: Convert to fraction form
    152.07/209.72 = 99.60/x
  3. Step 3: Cross multiply
    152.07x = 209.72 × 99.60
  4. Step 4: Simplify right side
    152.07x = 20,888.11
  5. Step 5: Solve for x
    x = 20,888.11/152.07
  6. Step 6: Final answer
    x = 137.36

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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.