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Finding the Fourth Proportional to 152.23, 210.01 and 90.06

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Solution

The fourth proportional to 152.23, 210.01 and 90.06 is: 124.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.23 : 210.01 = 90.06 : x
  2. Step 2: Convert to fraction form
    152.23/210.01 = 90.06/x
  3. Step 3: Cross multiply
    152.23x = 210.01 × 90.06
  4. Step 4: Simplify right side
    152.23x = 18,913.50
  5. Step 5: Solve for x
    x = 18,913.50/152.23
  6. Step 6: Final answer
    x = 124.24

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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.