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Finding the Fourth Proportional to 153.04, 210.98 and 106.34

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Solution

The fourth proportional to 153.04, 210.98 and 106.34 is: 146.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.04 : 210.98 = 106.34 : x
  2. Step 2: Convert to fraction form
    153.04/210.98 = 106.34/x
  3. Step 3: Cross multiply
    153.04x = 210.98 × 106.34
  4. Step 4: Simplify right side
    153.04x = 22,435.61
  5. Step 5: Solve for x
    x = 22,435.61/153.04
  6. Step 6: Final answer
    x = 146.60

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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.