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Finding the Fourth Proportional to 152.40, 210.39 and 103.35

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Solution

The fourth proportional to 152.40, 210.39 and 103.35 is: 142.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.40 : 210.39 = 103.35 : x
  2. Step 2: Convert to fraction form
    152.40/210.39 = 103.35/x
  3. Step 3: Cross multiply
    152.40x = 210.39 × 103.35
  4. Step 4: Simplify right side
    152.40x = 21,743.81
  5. Step 5: Solve for x
    x = 21,743.81/152.40
  6. Step 6: Final answer
    x = 142.68

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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.