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Finding the Fourth Proportional to 1.02, 1.53 and 0.72

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Solution

The fourth proportional to 1.02, 1.53 and 0.72 is: 1.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.02 : 1.53 = 0.72 : x
  2. Step 2: Convert to fraction form
    1.02/1.53 = 0.72/x
  3. Step 3: Cross multiply
    1.02x = 1.53 × 0.72
  4. Step 4: Simplify right side
    1.02x = 1.10
  5. Step 5: Solve for x
    x = 1.10/1.02
  6. Step 6: Final answer
    x = 1.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.