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Finding the Fourth Proportional to 152.87, 210.93 and 109.13

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Solution

The fourth proportional to 152.87, 210.93 and 109.13 is: 150.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.87 : 210.93 = 109.13 : x
  2. Step 2: Convert to fraction form
    152.87/210.93 = 109.13/x
  3. Step 3: Cross multiply
    152.87x = 210.93 × 109.13
  4. Step 4: Simplify right side
    152.87x = 23,017.74
  5. Step 5: Solve for x
    x = 23,017.74/152.87
  6. Step 6: Final answer
    x = 150.58

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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.